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Finding the Fourth Proportional to 166.29, 229.49 and 96.35

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Solution

The fourth proportional to 166.29, 229.49 and 96.35 is: 132.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.29 : 229.49 = 96.35 : x
  2. Step 2: Convert to fraction form
    166.29/229.49 = 96.35/x
  3. Step 3: Cross multiply
    166.29x = 229.49 × 96.35
  4. Step 4: Simplify right side
    166.29x = 22,109.73
  5. Step 5: Solve for x
    x = 22,109.73/166.29
  6. Step 6: Final answer
    x = 132.96

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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.