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Finding the Fourth Proportional to 80.24, 119.94 and 59.76

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Solution

The fourth proportional to 80.24, 119.94 and 59.76 is: 89.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.24 : 119.94 = 59.76 : x
  2. Step 2: Convert to fraction form
    80.24/119.94 = 59.76/x
  3. Step 3: Cross multiply
    80.24x = 119.94 × 59.76
  4. Step 4: Simplify right side
    80.24x = 7,167.61
  5. Step 5: Solve for x
    x = 7,167.61/80.24
  6. Step 6: Final answer
    x = 89.33

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Why These Related Problems?

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