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Finding the Fourth Proportional to 161.20, 222.33 and 105.94

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Solution

The fourth proportional to 161.20, 222.33 and 105.94 is: 146.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.20 : 222.33 = 105.94 : x
  2. Step 2: Convert to fraction form
    161.20/222.33 = 105.94/x
  3. Step 3: Cross multiply
    161.20x = 222.33 × 105.94
  4. Step 4: Simplify right side
    161.20x = 23,553.64
  5. Step 5: Solve for x
    x = 23,553.64/161.20
  6. Step 6: Final answer
    x = 146.11

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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.