Following the win, the Rapla club improved to a 1-3 record, while the visitors from Tallinn dropped to 2-3, but are still second in the group standings.
Tallinn Kalev had won the previous meeting between the sides 88-86, which means that Rapla will have a head-to-head advantage in case they finish the regular season with an even record.
Halfway through the game, the visitors had a 41-28 lead, but a terrific second half performance allowed Rapla to come out victorious.
Martin Dorbek and Sven Kaldre had 16 points each for the winners, while Andre Parn and Rait-Riivo Lanne chipped in with 11 and 10 respectively.
For Tallinn Kalev, Kaido Saks had 15 points, George Hart scored 12 points and grabbed nine boards, with Julian Allen adding 10 points.