The points F, G, H and I all lie on the same line segment, in that order, such that theratio of FG : GH: HI is equal to 6:4: 1.

GH   represents     4 of ( 6+4+1)    or  4/11 of the 55

4/11 * 55 = 20

The points F, G, H, and I all lie on the same line segment, in that order, such that the ratio of FG : GH: HI is equal to 6:4: 1. If FI = 55, find GH.

 

               F------------------------G----------------H----I

                          ^{30 units                    20 units           5 units}