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Finding the Fourth Proportional to 80.27, 120.42 and 32.21

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Solution

The fourth proportional to 80.27, 120.42 and 32.21 is: 48.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.27 : 120.42 = 32.21 : x
  2. Step 2: Convert to fraction form
    80.27/120.42 = 32.21/x
  3. Step 3: Cross multiply
    80.27x = 120.42 × 32.21
  4. Step 4: Simplify right side
    80.27x = 3,878.73
  5. Step 5: Solve for x
    x = 3,878.73/80.27
  6. Step 6: Final answer
    x = 48.32

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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.