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Finding the Fourth Proportional to 31.46, 47.13 and 29.31

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Solution

The fourth proportional to 31.46, 47.13 and 29.31 is: 43.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.46 : 47.13 = 29.31 : x
  2. Step 2: Convert to fraction form
    31.46/47.13 = 29.31/x
  3. Step 3: Cross multiply
    31.46x = 47.13 × 29.31
  4. Step 4: Simplify right side
    31.46x = 1,381.38
  5. Step 5: Solve for x
    x = 1,381.38/31.46
  6. Step 6: Final answer
    x = 43.92

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Why These Related Problems?

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