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Finding the Fourth Proportional to 87.70, 120.99 and 58.54

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Solution

The fourth proportional to 87.70, 120.99 and 58.54 is: 80.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.70 : 120.99 = 58.54 : x
  2. Step 2: Convert to fraction form
    87.70/120.99 = 58.54/x
  3. Step 3: Cross multiply
    87.70x = 120.99 × 58.54
  4. Step 4: Simplify right side
    87.70x = 7,082.75
  5. Step 5: Solve for x
    x = 7,082.75/87.70
  6. Step 6: Final answer
    x = 80.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.