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Finding the Fourth Proportional to 87.36, 120.32 and 72.64

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Solution

The fourth proportional to 87.36, 120.32 and 72.64 is: 100.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.36 : 120.32 = 72.64 : x
  2. Step 2: Convert to fraction form
    87.36/120.32 = 72.64/x
  3. Step 3: Cross multiply
    87.36x = 120.32 × 72.64
  4. Step 4: Simplify right side
    87.36x = 8,740.04
  5. Step 5: Solve for x
    x = 8,740.04/87.36
  6. Step 6: Final answer
    x = 100.05

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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.