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Finding the Fourth Proportional to 166.38, 229.64 and 106.56

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Solution

The fourth proportional to 166.38, 229.64 and 106.56 is: 147.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.38 : 229.64 = 106.56 : x
  2. Step 2: Convert to fraction form
    166.38/229.64 = 106.56/x
  3. Step 3: Cross multiply
    166.38x = 229.64 × 106.56
  4. Step 4: Simplify right side
    166.38x = 24,469.91
  5. Step 5: Solve for x
    x = 24,469.91/166.38
  6. Step 6: Final answer
    x = 147.07

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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.