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Finding the Fourth Proportional to 57.31, 85.97 and 14.56

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Solution

The fourth proportional to 57.31, 85.97 and 14.56 is: 21.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.31 : 85.97 = 14.56 : x
  2. Step 2: Convert to fraction form
    57.31/85.97 = 14.56/x
  3. Step 3: Cross multiply
    57.31x = 85.97 × 14.56
  4. Step 4: Simplify right side
    57.31x = 1,251.94
  5. Step 5: Solve for x
    x = 1,251.94/57.31
  6. Step 6: Final answer
    x = 21.84

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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.