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Finding the Fourth Proportional to 37.92, 52.32 and 24.98

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Solution

The fourth proportional to 37.92, 52.32 and 24.98 is: 34.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.92 : 52.32 = 24.98 : x
  2. Step 2: Convert to fraction form
    37.92/52.32 = 24.98/x
  3. Step 3: Cross multiply
    37.92x = 52.32 × 24.98
  4. Step 4: Simplify right side
    37.92x = 1,306.95
  5. Step 5: Solve for x
    x = 1,306.95/37.92
  6. Step 6: Final answer
    x = 34.47

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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.