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Finding the Fourth Proportional to 87.81, 120.39 and 86.28

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Solution

The fourth proportional to 87.81, 120.39 and 86.28 is: 118.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.81 : 120.39 = 86.28 : x
  2. Step 2: Convert to fraction form
    87.81/120.39 = 86.28/x
  3. Step 3: Cross multiply
    87.81x = 120.39 × 86.28
  4. Step 4: Simplify right side
    87.81x = 10,386.47
  5. Step 5: Solve for x
    x = 10,386.47/87.81
  6. Step 6: Final answer
    x = 118.29

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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.