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Finding the Fourth Proportional to 167.54, 230.97 and 112.16

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Solution

The fourth proportional to 167.54, 230.97 and 112.16 is: 154.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.54 : 230.97 = 112.16 : x
  2. Step 2: Convert to fraction form
    167.54/230.97 = 112.16/x
  3. Step 3: Cross multiply
    167.54x = 230.97 × 112.16
  4. Step 4: Simplify right side
    167.54x = 25,906.17
  5. Step 5: Solve for x
    x = 25,906.17/167.54
  6. Step 6: Final answer
    x = 154.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.