These sit in different price classes - Fluance Ri71 costs roughly 2x what Edifier MR4.5 does. Expect it to lead on paper; the question is whether the gap is audible enough in your room to be worth it.
| Area | Better | Why |
|---|
| Bass | B | Fluance Ri71 digs deeper - 46Hz against 50Hz. A subwoofer would even that out. |
| Built-in power | B | Fluance Ri71 has the bigger amplifier (120W vs 80W RMS). |
| Connections | B | Fluance Ri71 adds HDMI. |
| Size | depends | Edifier MR4.5 is easier to place; Fluance Ri71 is bigger, which usually goes with fuller bass. Your room decides. |
| Expandability | B | Fluance Ri71: a sub output. |
| Price | A | Edifier MR4.5 is cheaper - $250 against $500, about 50% less; arguably a different class. |
A Edifier MR4.5 B Fluance Ri71
depends neither is better in the abstract - it turns on your room, your system or how you will use them. Only specs published for both speakers are judged; anything missing on either side is left out rather than guessed.
Which should you choose?
The usual trade-off: Fluance Ri71 measures better, Edifier MR4.5 costs about about 100% more% less. Whether that gap is worth the money is the call only you can make - and in a normal room it is often smaller than the numbers suggest. In a large or open-plan room, Fluance Ri71 has the cabinet volume to fill it more easily; in a small room, near a wall or at desk distance, Edifier MR4.5 is the easier speaker to get right. Think about the whole system, not just the speakers: the roughly $250 saved by taking the cheaper pair would buy a subwoofer or a better amplifier, and either usually does more for the sound than the difference between these two.
And remember what a spec sheet cannot show: how each looks in your room and whether the finish suits it, what dealer support and warranty are like where you live, and how they actually sound to you. If you can hear them first - ideally with your own music - that will tell you more than any number above.