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Finding the Fourth Proportional to 112.25, 169.09 and 110.83

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Solution

The fourth proportional to 112.25, 169.09 and 110.83 is: 166.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.25 : 169.09 = 110.83 : x
  2. Step 2: Convert to fraction form
    112.25/169.09 = 110.83/x
  3. Step 3: Cross multiply
    112.25x = 169.09 × 110.83
  4. Step 4: Simplify right side
    112.25x = 18,739.96
  5. Step 5: Solve for x
    x = 18,739.96/112.25
  6. Step 6: Final answer
    x = 166.96

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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.