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Finding the Fourth Proportional to 167.06, 230.45 and 111.78

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Solution

The fourth proportional to 167.06, 230.45 and 111.78 is: 154.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.06 : 230.45 = 111.78 : x
  2. Step 2: Convert to fraction form
    167.06/230.45 = 111.78/x
  3. Step 3: Cross multiply
    167.06x = 230.45 × 111.78
  4. Step 4: Simplify right side
    167.06x = 25,759.14
  5. Step 5: Solve for x
    x = 25,759.14/167.06
  6. Step 6: Final answer
    x = 154.19

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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.