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Finding the Fourth Proportional to 80.57, 119.91 and 77.69

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Solution

The fourth proportional to 80.57, 119.91 and 77.69 is: 115.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.57 : 119.91 = 77.69 : x
  2. Step 2: Convert to fraction form
    80.57/119.91 = 77.69/x
  3. Step 3: Cross multiply
    80.57x = 119.91 × 77.69
  4. Step 4: Simplify right side
    80.57x = 9,315.42
  5. Step 5: Solve for x
    x = 9,315.42/80.57
  6. Step 6: Final answer
    x = 115.62

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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.