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Finding the Fourth Proportional to 161.96, 223.52 and 106.82

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Solution

The fourth proportional to 161.96, 223.52 and 106.82 is: 147.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.96 : 223.52 = 106.82 : x
  2. Step 2: Convert to fraction form
    161.96/223.52 = 106.82/x
  3. Step 3: Cross multiply
    161.96x = 223.52 × 106.82
  4. Step 4: Simplify right side
    161.96x = 23,876.41
  5. Step 5: Solve for x
    x = 23,876.41/161.96
  6. Step 6: Final answer
    x = 147.42

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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.