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Finding the Fourth Proportional to 80.12, 119.44 and 76.04

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Solution

The fourth proportional to 80.12, 119.44 and 76.04 is: 113.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.12 : 119.44 = 76.04 : x
  2. Step 2: Convert to fraction form
    80.12/119.44 = 76.04/x
  3. Step 3: Cross multiply
    80.12x = 119.44 × 76.04
  4. Step 4: Simplify right side
    80.12x = 9,082.22
  5. Step 5: Solve for x
    x = 9,082.22/80.12
  6. Step 6: Final answer
    x = 113.36

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.