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Finding the Fourth Proportional to 87.64, 121.03 and 72.25

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Solution

The fourth proportional to 87.64, 121.03 and 72.25 is: 99.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.64 : 121.03 = 72.25 : x
  2. Step 2: Convert to fraction form
    87.64/121.03 = 72.25/x
  3. Step 3: Cross multiply
    87.64x = 121.03 × 72.25
  4. Step 4: Simplify right side
    87.64x = 8,743.93
  5. Step 5: Solve for x
    x = 8,743.93/87.64
  6. Step 6: Final answer
    x = 99.77

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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.