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Finding the Fourth Proportional to 87.23, 120.31 and 52.22

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Solution

The fourth proportional to 87.23, 120.31 and 52.22 is: 72.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.23 : 120.31 = 52.22 : x
  2. Step 2: Convert to fraction form
    87.23/120.31 = 52.22/x
  3. Step 3: Cross multiply
    87.23x = 120.31 × 52.22
  4. Step 4: Simplify right side
    87.23x = 6,282.57
  5. Step 5: Solve for x
    x = 6,282.57/87.23
  6. Step 6: Final answer
    x = 72.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.