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Finding the Fourth Proportional to 112.73, 169.07 and 31.57

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Solution

The fourth proportional to 112.73, 169.07 and 31.57 is: 47.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.73 : 169.07 = 31.57 : x
  2. Step 2: Convert to fraction form
    112.73/169.07 = 31.57/x
  3. Step 3: Cross multiply
    112.73x = 169.07 × 31.57
  4. Step 4: Simplify right side
    112.73x = 5,337.86
  5. Step 5: Solve for x
    x = 5,337.86/112.73
  6. Step 6: Final answer
    x = 47.35

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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.