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Finding the Fourth Proportional to 80.28, 120.32 and 60.04

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Solution

The fourth proportional to 80.28, 120.32 and 60.04 is: 89.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.28 : 120.32 = 60.04 : x
  2. Step 2: Convert to fraction form
    80.28/120.32 = 60.04/x
  3. Step 3: Cross multiply
    80.28x = 120.32 × 60.04
  4. Step 4: Simplify right side
    80.28x = 7,224.01
  5. Step 5: Solve for x
    x = 7,224.01/80.28
  6. Step 6: Final answer
    x = 89.99

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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.