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Finding the Fourth Proportional to 42.05, 62.64 and 39.72

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Solution

The fourth proportional to 42.05, 62.64 and 39.72 is: 59.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.05 : 62.64 = 39.72 : x
  2. Step 2: Convert to fraction form
    42.05/62.64 = 39.72/x
  3. Step 3: Cross multiply
    42.05x = 62.64 × 39.72
  4. Step 4: Simplify right side
    42.05x = 2,488.06
  5. Step 5: Solve for x
    x = 2,488.06/42.05
  6. Step 6: Final answer
    x = 59.17

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.