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Finding the Fourth Proportional to 166.54, 229.78 and 96.61

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Solution

The fourth proportional to 166.54, 229.78 and 96.61 is: 133.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.54 : 229.78 = 96.61 : x
  2. Step 2: Convert to fraction form
    166.54/229.78 = 96.61/x
  3. Step 3: Cross multiply
    166.54x = 229.78 × 96.61
  4. Step 4: Simplify right side
    166.54x = 22,198.23
  5. Step 5: Solve for x
    x = 22,198.23/166.54
  6. Step 6: Final answer
    x = 133.29

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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.