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Finding the Fourth Proportional to 85.52, 118 and 82.61

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Solution

The fourth proportional to 85.52, 118 and 82.61 is: 113.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.52 : 118 = 82.61 : x
  2. Step 2: Convert to fraction form
    85.52/118 = 82.61/x
  3. Step 3: Cross multiply
    85.52x = 118 × 82.61
  4. Step 4: Simplify right side
    85.52x = 9,747.98
  5. Step 5: Solve for x
    x = 9,747.98/85.52
  6. Step 6: Final answer
    x = 113.98

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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.