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Finding the Fourth Proportional to 87.82, 120.42 and 85.77

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Solution

The fourth proportional to 87.82, 120.42 and 85.77 is: 117.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.82 : 120.42 = 85.77 : x
  2. Step 2: Convert to fraction form
    87.82/120.42 = 85.77/x
  3. Step 3: Cross multiply
    87.82x = 120.42 × 85.77
  4. Step 4: Simplify right side
    87.82x = 10,328.42
  5. Step 5: Solve for x
    x = 10,328.42/87.82
  6. Step 6: Final answer
    x = 117.61

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.