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Finding the Fourth Proportional to 118.67, 177.83 and 112.09

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Solution

The fourth proportional to 118.67, 177.83 and 112.09 is: 167.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.67 : 177.83 = 112.09 : x
  2. Step 2: Convert to fraction form
    118.67/177.83 = 112.09/x
  3. Step 3: Cross multiply
    118.67x = 177.83 × 112.09
  4. Step 4: Simplify right side
    118.67x = 19,932.96
  5. Step 5: Solve for x
    x = 19,932.96/118.67
  6. Step 6: Final answer
    x = 167.97

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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.