ab = 1
bc = 2
cd = 3
de = 4
ea = 5
Divde the second equation by the first
c/a = 2 ⇒ c = 2a ⇒ c/2 =a
Divide the fourth equation by the third
e/c = 4/3 ⇒ e = (4/3)c
Sub these into the fifth equation
ea = 5
(4/3)c * c/2 = 5
(4/6)c^2 = 5
(2/3) c^2 = 5
c^2 = (5 * 3) /2 = 7.5
c = sqrt (7.5)
e = (4/3) sqrt (7.5)
a = sqrt (7.5) / 2
b = 2 /(sqrt (7.5)
d = 3/ sqrt (7.5)