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Finding the Fourth Proportional to 113.13, 169.70 and 31.97

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Solution

The fourth proportional to 113.13, 169.70 and 31.97 is: 47.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.13 : 169.70 = 31.97 : x
  2. Step 2: Convert to fraction form
    113.13/169.70 = 31.97/x
  3. Step 3: Cross multiply
    113.13x = 169.70 × 31.97
  4. Step 4: Simplify right side
    113.13x = 5,425.57
  5. Step 5: Solve for x
    x = 5,425.57/113.13
  6. Step 6: Final answer
    x = 47.96

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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.