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Finding the Fourth Proportional to 161.82, 223.20 and 106.47

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Solution

The fourth proportional to 161.82, 223.20 and 106.47 is: 146.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.82 : 223.20 = 106.47 : x
  2. Step 2: Convert to fraction form
    161.82/223.20 = 106.47/x
  3. Step 3: Cross multiply
    161.82x = 223.20 × 106.47
  4. Step 4: Simplify right side
    161.82x = 23,764.10
  5. Step 5: Solve for x
    x = 23,764.10/161.82
  6. Step 6: Final answer
    x = 146.86

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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.