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Finding the Fourth Proportional to 111.97, 168.03 and 50.29

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Solution

The fourth proportional to 111.97, 168.03 and 50.29 is: 75.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.97 : 168.03 = 50.29 : x
  2. Step 2: Convert to fraction form
    111.97/168.03 = 50.29/x
  3. Step 3: Cross multiply
    111.97x = 168.03 × 50.29
  4. Step 4: Simplify right side
    111.97x = 8,450.42
  5. Step 5: Solve for x
    x = 8,450.42/111.97
  6. Step 6: Final answer
    x = 75.47

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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.