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Finding the Fourth Proportional to 80.37, 110.97 and 59.61

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Solution

The fourth proportional to 80.37, 110.97 and 59.61 is: 82.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.37 : 110.97 = 59.61 : x
  2. Step 2: Convert to fraction form
    80.37/110.97 = 59.61/x
  3. Step 3: Cross multiply
    80.37x = 110.97 × 59.61
  4. Step 4: Simplify right side
    80.37x = 6,614.92
  5. Step 5: Solve for x
    x = 6,614.92/80.37
  6. Step 6: Final answer
    x = 82.31

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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.