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Finding the Fourth Proportional to 87.37, 119.72 and 87.23

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Solution

The fourth proportional to 87.37, 119.72 and 87.23 is: 119.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.37 : 119.72 = 87.23 : x
  2. Step 2: Convert to fraction form
    87.37/119.72 = 87.23/x
  3. Step 3: Cross multiply
    87.37x = 119.72 × 87.23
  4. Step 4: Simplify right side
    87.37x = 10,443.20
  5. Step 5: Solve for x
    x = 10,443.20/87.37
  6. Step 6: Final answer
    x = 119.53

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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.