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Finding the Fourth Proportional to 57.10, 85.62 and 24.58

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Solution

The fourth proportional to 57.10, 85.62 and 24.58 is: 36.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.10 : 85.62 = 24.58 : x
  2. Step 2: Convert to fraction form
    57.10/85.62 = 24.58/x
  3. Step 3: Cross multiply
    57.10x = 85.62 × 24.58
  4. Step 4: Simplify right side
    57.10x = 2,104.54
  5. Step 5: Solve for x
    x = 2,104.54/57.10
  6. Step 6: Final answer
    x = 36.86

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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.