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Finding the Fourth Proportional to 166.04, 229.12 and 126.68

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Solution

The fourth proportional to 166.04, 229.12 and 126.68 is: 174.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.04 : 229.12 = 126.68 : x
  2. Step 2: Convert to fraction form
    166.04/229.12 = 126.68/x
  3. Step 3: Cross multiply
    166.04x = 229.12 × 126.68
  4. Step 4: Simplify right side
    166.04x = 29,024.92
  5. Step 5: Solve for x
    x = 29,024.92/166.04
  6. Step 6: Final answer
    x = 174.81

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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.