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Finding the Fourth Proportional to 57.32, 85.97 and 14.57

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Solution

The fourth proportional to 57.32, 85.97 and 14.57 is: 21.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.32 : 85.97 = 14.57 : x
  2. Step 2: Convert to fraction form
    57.32/85.97 = 14.57/x
  3. Step 3: Cross multiply
    57.32x = 85.97 × 14.57
  4. Step 4: Simplify right side
    57.32x = 1,252.15
  5. Step 5: Solve for x
    x = 1,252.15/57.32
  6. Step 6: Final answer
    x = 21.85

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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.