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Finding the Fourth Proportional to 87.82, 131.73 and 22.82

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Solution

The fourth proportional to 87.82, 131.73 and 22.82 is: 34.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.82 : 131.73 = 22.82 : x
  2. Step 2: Convert to fraction form
    87.82/131.73 = 22.82/x
  3. Step 3: Cross multiply
    87.82x = 131.73 × 22.82
  4. Step 4: Simplify right side
    87.82x = 3,006.08
  5. Step 5: Solve for x
    x = 3,006.08/87.82
  6. Step 6: Final answer
    x = 34.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.