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Finding the Fourth Proportional to 41.40, 61.92 and 31.27

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Solution

The fourth proportional to 41.40, 61.92 and 31.27 is: 46.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.40 : 61.92 = 31.27 : x
  2. Step 2: Convert to fraction form
    41.40/61.92 = 31.27/x
  3. Step 3: Cross multiply
    41.40x = 61.92 × 31.27
  4. Step 4: Simplify right side
    41.40x = 1,936.24
  5. Step 5: Solve for x
    x = 1,936.24/41.40
  6. Step 6: Final answer
    x = 46.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.