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Finding the Fourth Proportional to 38.62, 57.92 and 24.20

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Solution

The fourth proportional to 38.62, 57.92 and 24.20 is: 36.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.62 : 57.92 = 24.20 : x
  2. Step 2: Convert to fraction form
    38.62/57.92 = 24.20/x
  3. Step 3: Cross multiply
    38.62x = 57.92 × 24.20
  4. Step 4: Simplify right side
    38.62x = 1,401.39
  5. Step 5: Solve for x
    x = 1,401.39/38.62
  6. Step 6: Final answer
    x = 36.28

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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.