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Finding the Fourth Proportional to 166.45, 229.68 and 104.29

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Solution

The fourth proportional to 166.45, 229.68 and 104.29 is: 143.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.45 : 229.68 = 104.29 : x
  2. Step 2: Convert to fraction form
    166.45/229.68 = 104.29/x
  3. Step 3: Cross multiply
    166.45x = 229.68 × 104.29
  4. Step 4: Simplify right side
    166.45x = 23,953.33
  5. Step 5: Solve for x
    x = 23,953.33/166.45
  6. Step 6: Final answer
    x = 143.91

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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.