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      Question

      Find the fourth proportion of (2k - 5), (k + 1), and (3k +

      4). (Note: 'k' is the smallest two-digit prime number.)
      A 22 Correct Answer Incorrect Answer
      B 26 Correct Answer Incorrect Answer
      C 28 Correct Answer Incorrect Answer
      D 32 Correct Answer Incorrect Answer

      Solution

      k = 11 (smallest two-digit prime)
      2k - 5 = 22 - 5 = 17
      k + 1 = 11 + 1 = 12
      3k + 4 = 33 + 4 = 37
      17 : 12 :: 37 : m
      17m = 12 Γ— 37 = 444
      m = 444 Γ· 17 = 26

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