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Finding the Fourth Proportional to 87.97, 121.40 and 49.16

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Solution

The fourth proportional to 87.97, 121.40 and 49.16 is: 67.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.97 : 121.40 = 49.16 : x
  2. Step 2: Convert to fraction form
    87.97/121.40 = 49.16/x
  3. Step 3: Cross multiply
    87.97x = 121.40 × 49.16
  4. Step 4: Simplify right side
    87.97x = 5,967.78
  5. Step 5: Solve for x
    x = 5,967.78/87.97
  6. Step 6: Final answer
    x = 67.84

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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.