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Finding the Fourth Proportional to 111.92, 169.07 and 110.75

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Solution

The fourth proportional to 111.92, 169.07 and 110.75 is: 167.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.92 : 169.07 = 110.75 : x
  2. Step 2: Convert to fraction form
    111.92/169.07 = 110.75/x
  3. Step 3: Cross multiply
    111.92x = 169.07 × 110.75
  4. Step 4: Simplify right side
    111.92x = 18,723.10
  5. Step 5: Solve for x
    x = 18,723.10/111.92
  6. Step 6: Final answer
    x = 167.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.