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Finding the Fourth Proportional to 31.89, 47.85 and 13.85

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Solution

The fourth proportional to 31.89, 47.85 and 13.85 is: 20.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.89 : 47.85 = 13.85 : x
  2. Step 2: Convert to fraction form
    31.89/47.85 = 13.85/x
  3. Step 3: Cross multiply
    31.89x = 47.85 × 13.85
  4. Step 4: Simplify right side
    31.89x = 662.61
  5. Step 5: Solve for x
    x = 662.61/31.89
  6. Step 6: Final answer
    x = 20.78

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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.