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      Question

      Find the fourth proportion of (k - 2), (2k - 4) and (3k

      - 6). (Note: 'k' is the smallest two-digit multiple of 3.)
      A 40 Correct Answer Incorrect Answer
      B 45 Correct Answer Incorrect Answer
      C 50 Correct Answer Incorrect Answer
      D 60 Correct Answer Incorrect Answer

      Solution

      'k' = 12 k - 2 = 12 - 2 = 10 2k - 4 = 2 × 12 - 4 = 20 3k - 6 = 3 × 12 - 6 = 30 Let the fourth proportion be 'm'. 10 : 20 :: 30 : m So, 10 × m = 20 × 30 Or, 'm' = 60

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