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Finding the Fourth Proportional to 57.20, 85.86 and 24.74

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Solution

The fourth proportional to 57.20, 85.86 and 24.74 is: 37.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.20 : 85.86 = 24.74 : x
  2. Step 2: Convert to fraction form
    57.20/85.86 = 24.74/x
  3. Step 3: Cross multiply
    57.20x = 85.86 × 24.74
  4. Step 4: Simplify right side
    57.20x = 2,124.18
  5. Step 5: Solve for x
    x = 2,124.18/57.20
  6. Step 6: Final answer
    x = 37.14

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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.