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Finding the Fourth Proportional to 113.09, 169.64 and 31.92

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Solution

The fourth proportional to 113.09, 169.64 and 31.92 is: 47.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.09 : 169.64 = 31.92 : x
  2. Step 2: Convert to fraction form
    113.09/169.64 = 31.92/x
  3. Step 3: Cross multiply
    113.09x = 169.64 × 31.92
  4. Step 4: Simplify right side
    113.09x = 5,414.91
  5. Step 5: Solve for x
    x = 5,414.91/113.09
  6. Step 6: Final answer
    x = 47.88

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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.