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Finding the Fourth Proportional to 111.97, 167.89 and 77.95

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Solution

The fourth proportional to 111.97, 167.89 and 77.95 is: 116.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.97 : 167.89 = 77.95 : x
  2. Step 2: Convert to fraction form
    111.97/167.89 = 77.95/x
  3. Step 3: Cross multiply
    111.97x = 167.89 × 77.95
  4. Step 4: Simplify right side
    111.97x = 13,087.03
  5. Step 5: Solve for x
    x = 13,087.03/111.97
  6. Step 6: Final answer
    x = 116.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.