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Finding the Fourth Proportional to 161.70, 223.20 and 102.73

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Solution

The fourth proportional to 161.70, 223.20 and 102.73 is: 141.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.70 : 223.20 = 102.73 : x
  2. Step 2: Convert to fraction form
    161.70/223.20 = 102.73/x
  3. Step 3: Cross multiply
    161.70x = 223.20 × 102.73
  4. Step 4: Simplify right side
    161.70x = 22,928.78
  5. Step 5: Solve for x
    x = 22,928.78/161.70
  6. Step 6: Final answer
    x = 141.80

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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.