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Finding the Fourth Proportional to 38.60, 57.87 and 22.58

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Solution

The fourth proportional to 38.60, 57.87 and 22.58 is: 33.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.60 : 57.87 = 22.58 : x
  2. Step 2: Convert to fraction form
    38.60/57.87 = 22.58/x
  3. Step 3: Cross multiply
    38.60x = 57.87 × 22.58
  4. Step 4: Simplify right side
    38.60x = 1,306.70
  5. Step 5: Solve for x
    x = 1,306.70/38.60
  6. Step 6: Final answer
    x = 33.85

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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.