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Finding the Fourth Proportional to 31.73, 47.42 and 26.61

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Solution

The fourth proportional to 31.73, 47.42 and 26.61 is: 39.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.73 : 47.42 = 26.61 : x
  2. Step 2: Convert to fraction form
    31.73/47.42 = 26.61/x
  3. Step 3: Cross multiply
    31.73x = 47.42 × 26.61
  4. Step 4: Simplify right side
    31.73x = 1,261.90
  5. Step 5: Solve for x
    x = 1,261.90/31.73
  6. Step 6: Final answer
    x = 39.78

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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.