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Finding the Fourth Proportional to 166.76, 229.92 and 107.65

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Solution

The fourth proportional to 166.76, 229.92 and 107.65 is: 148.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.76 : 229.92 = 107.65 : x
  2. Step 2: Convert to fraction form
    166.76/229.92 = 107.65/x
  3. Step 3: Cross multiply
    166.76x = 229.92 × 107.65
  4. Step 4: Simplify right side
    166.76x = 24,749.48
  5. Step 5: Solve for x
    x = 24,749.48/166.76
  6. Step 6: Final answer
    x = 148.41

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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.