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Finding the Fourth Proportional to 112.43, 168.24 and 109.73

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Solution

The fourth proportional to 112.43, 168.24 and 109.73 is: 164.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.43 : 168.24 = 109.73 : x
  2. Step 2: Convert to fraction form
    112.43/168.24 = 109.73/x
  3. Step 3: Cross multiply
    112.43x = 168.24 × 109.73
  4. Step 4: Simplify right side
    112.43x = 18,460.98
  5. Step 5: Solve for x
    x = 18,460.98/112.43
  6. Step 6: Final answer
    x = 164.20

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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.