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Finding the Fourth Proportional to 42.57, 64.18 and 39.73

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Solution

The fourth proportional to 42.57, 64.18 and 39.73 is: 59.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.57 : 64.18 = 39.73 : x
  2. Step 2: Convert to fraction form
    42.57/64.18 = 39.73/x
  3. Step 3: Cross multiply
    42.57x = 64.18 × 39.73
  4. Step 4: Simplify right side
    42.57x = 2,549.87
  5. Step 5: Solve for x
    x = 2,549.87/42.57
  6. Step 6: Final answer
    x = 59.90

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.