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Finding the Fourth Proportional to 38.53, 57.70 and 24.92

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Solution

The fourth proportional to 38.53, 57.70 and 24.92 is: 37.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.53 : 57.70 = 24.92 : x
  2. Step 2: Convert to fraction form
    38.53/57.70 = 24.92/x
  3. Step 3: Cross multiply
    38.53x = 57.70 × 24.92
  4. Step 4: Simplify right side
    38.53x = 1,438.03
  5. Step 5: Solve for x
    x = 1,438.03/38.53
  6. Step 6: Final answer
    x = 37.33

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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.