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Finding the Fourth Proportional to 87.36, 120.44 and 59.68

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Solution

The fourth proportional to 87.36, 120.44 and 59.68 is: 82.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.36 : 120.44 = 59.68 : x
  2. Step 2: Convert to fraction form
    87.36/120.44 = 59.68/x
  3. Step 3: Cross multiply
    87.36x = 120.44 × 59.68
  4. Step 4: Simplify right side
    87.36x = 7,187.86
  5. Step 5: Solve for x
    x = 7,187.86/87.36
  6. Step 6: Final answer
    x = 82.28

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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.