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Finding the Fourth Proportional to 39.92, 55.03 and 31.16

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Solution

The fourth proportional to 39.92, 55.03 and 31.16 is: 42.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.92 : 55.03 = 31.16 : x
  2. Step 2: Convert to fraction form
    39.92/55.03 = 31.16/x
  3. Step 3: Cross multiply
    39.92x = 55.03 × 31.16
  4. Step 4: Simplify right side
    39.92x = 1,714.73
  5. Step 5: Solve for x
    x = 1,714.73/39.92
  6. Step 6: Final answer
    x = 42.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.