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Finding the Fourth Proportional to 112.44, 168.31 and 110.82

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Solution

The fourth proportional to 112.44, 168.31 and 110.82 is: 165.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.44 : 168.31 = 110.82 : x
  2. Step 2: Convert to fraction form
    112.44/168.31 = 110.82/x
  3. Step 3: Cross multiply
    112.44x = 168.31 × 110.82
  4. Step 4: Simplify right side
    112.44x = 18,652.11
  5. Step 5: Solve for x
    x = 18,652.11/112.44
  6. Step 6: Final answer
    x = 165.89

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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.