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Finding the Fourth Proportional to 87.74, 130.91 and 87.23

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Solution

The fourth proportional to 87.74, 130.91 and 87.23 is: 130.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.74 : 130.91 = 87.23 : x
  2. Step 2: Convert to fraction form
    87.74/130.91 = 87.23/x
  3. Step 3: Cross multiply
    87.74x = 130.91 × 87.23
  4. Step 4: Simplify right side
    87.74x = 11,418.52
  5. Step 5: Solve for x
    x = 11,418.52/87.74
  6. Step 6: Final answer
    x = 130.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.