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    Question

    Find the fourth proportion of (5k + 5), (10k + 10) and

    (15k + 15). (Note: 'k' is the smallest prime number.)
    A 60 Correct Answer Incorrect Answer
    B 75 Correct Answer Incorrect Answer
    C 90 Correct Answer Incorrect Answer
    D 105 Correct Answer Incorrect Answer

    Solution

    'k' = 2 5k + 5 = 5 × 2 + 5 = 15 10k + 10 = 10 × 2 + 10 = 30 15k + 15 = 15 × 2 + 15 = 45 Let the fourth proportion be 'm'. 15 : 30 :: 45 : m So, 15 × m = 30 × 45 Or, 'm' = 90

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