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Finding the Fourth Proportional to 57.52, 86.22 and 25.42

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Solution

The fourth proportional to 57.52, 86.22 and 25.42 is: 38.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.52 : 86.22 = 25.42 : x
  2. Step 2: Convert to fraction form
    57.52/86.22 = 25.42/x
  3. Step 3: Cross multiply
    57.52x = 86.22 × 25.42
  4. Step 4: Simplify right side
    57.52x = 2,191.71
  5. Step 5: Solve for x
    x = 2,191.71/57.52
  6. Step 6: Final answer
    x = 38.10

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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.