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Finding the Fourth Proportional to 166.67, 229.85 and 104.45

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Solution

The fourth proportional to 166.67, 229.85 and 104.45 is: 144.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.67 : 229.85 = 104.45 : x
  2. Step 2: Convert to fraction form
    166.67/229.85 = 104.45/x
  3. Step 3: Cross multiply
    166.67x = 229.85 × 104.45
  4. Step 4: Simplify right side
    166.67x = 24,006.16
  5. Step 5: Solve for x
    x = 24,006.16/166.67
  6. Step 6: Final answer
    x = 144.04

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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.