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Finding the Fourth Proportional to 37.92, 52.24 and 31.78

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Solution

The fourth proportional to 37.92, 52.24 and 31.78 is: 43.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.92 : 52.24 = 31.78 : x
  2. Step 2: Convert to fraction form
    37.92/52.24 = 31.78/x
  3. Step 3: Cross multiply
    37.92x = 52.24 × 31.78
  4. Step 4: Simplify right side
    37.92x = 1,660.19
  5. Step 5: Solve for x
    x = 1,660.19/37.92
  6. Step 6: Final answer
    x = 43.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.