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Finding the Fourth Proportional to 87.22, 119.41 and 84.15

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Solution

The fourth proportional to 87.22, 119.41 and 84.15 is: 115.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.22 : 119.41 = 84.15 : x
  2. Step 2: Convert to fraction form
    87.22/119.41 = 84.15/x
  3. Step 3: Cross multiply
    87.22x = 119.41 × 84.15
  4. Step 4: Simplify right side
    87.22x = 10,048.14
  5. Step 5: Solve for x
    x = 10,048.14/87.22
  6. Step 6: Final answer
    x = 115.20

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Why These Related Problems?

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