Question
Find the fourth proportion of (k + 1), (2k + 2) and (3k
+ 3). (Note: 'k' is the smallest two-digit composite number.)Solution
'k' = 10 k + 1 = 10 + 1 = 11 2k + 2 = 2 × 10 + 2 = 22 3k + 3 = 3 × 10 + 3 = 33 Let the fourth proportion be 'm'. 11 : 22 :: 33 : m So, 11 × m = 22 × 33 Or, 'm' = 66
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