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    Question

    Find the fourth proportion of (k + 1), (2k + 2) and (3k

    + 3). (Note: 'k' is the smallest two-digit composite number.)
    A 44 Correct Answer Incorrect Answer
    B 55 Correct Answer Incorrect Answer
    C 66 Correct Answer Incorrect Answer
    D 77 Correct Answer Incorrect Answer

    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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