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Finding the Fourth Proportional to 38.61, 57.96 and 24.20

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Solution

The fourth proportional to 38.61, 57.96 and 24.20 is: 36.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.61 : 57.96 = 24.20 : x
  2. Step 2: Convert to fraction form
    38.61/57.96 = 24.20/x
  3. Step 3: Cross multiply
    38.61x = 57.96 × 24.20
  4. Step 4: Simplify right side
    38.61x = 1,402.22
  5. Step 5: Solve for x
    x = 1,402.22/38.61
  6. Step 6: Final answer
    x = 36.32

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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.