Problems on Ratio and Proportion:
1. If a:b = 2:3 and b:c = 7:8, find a:b:c.
Solution:
a = 2*7 = 14.
b = 3*7 = 21
c = 8*3 = 24.
Hence, a:b:c is 14:21:24.
2. Find
A. The fourth proportional to 2,4 and 5;
B. The third proportional to 3 and 9:
C. the mean proportional between 9 and 64.
Solution:
A. 2:4::5:d is equivalent to (4*5) = 2d
20 = 2d
d = 10.
B. 3:9::9:c is equivalent to (9*9) = 3c
81 = 3c
c = 27.
C. (9*64)1/2 = 3*8 = 24.
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