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Finding the Fourth Proportional to 38.60, 57.82 and 27.88

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Solution

The fourth proportional to 38.60, 57.82 and 27.88 is: 41.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.60 : 57.82 = 27.88 : x
  2. Step 2: Convert to fraction form
    38.60/57.82 = 27.88/x
  3. Step 3: Cross multiply
    38.60x = 57.82 × 27.88
  4. Step 4: Simplify right side
    38.60x = 1,612.02
  5. Step 5: Solve for x
    x = 1,612.02/38.60
  6. Step 6: Final answer
    x = 41.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.