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Finding the Fourth Proportional to 166.91, 230.24 and 111.72

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Solution

The fourth proportional to 166.91, 230.24 and 111.72 is: 154.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.91 : 230.24 = 111.72 : x
  2. Step 2: Convert to fraction form
    166.91/230.24 = 111.72/x
  3. Step 3: Cross multiply
    166.91x = 230.24 × 111.72
  4. Step 4: Simplify right side
    166.91x = 25,722.69
  5. Step 5: Solve for x
    x = 25,722.69/166.91
  6. Step 6: Final answer
    x = 154.12

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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.