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Finding the Fourth Proportional to 87.30, 120.42 and 86.22

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Solution

The fourth proportional to 87.30, 120.42 and 86.22 is: 118.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.30 : 120.42 = 86.22 : x
  2. Step 2: Convert to fraction form
    87.30/120.42 = 86.22/x
  3. Step 3: Cross multiply
    87.30x = 120.42 × 86.22
  4. Step 4: Simplify right side
    87.30x = 10,382.61
  5. Step 5: Solve for x
    x = 10,382.61/87.30
  6. Step 6: Final answer
    x = 118.93

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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.