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Finding the Fourth Proportional to 87.78, 121.18 and 67.06

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Solution

The fourth proportional to 87.78, 121.18 and 67.06 is: 92.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.78 : 121.18 = 67.06 : x
  2. Step 2: Convert to fraction form
    87.78/121.18 = 67.06/x
  3. Step 3: Cross multiply
    87.78x = 121.18 × 67.06
  4. Step 4: Simplify right side
    87.78x = 8,126.33
  5. Step 5: Solve for x
    x = 8,126.33/87.78
  6. Step 6: Final answer
    x = 92.58

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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.