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Finding the Fourth Proportional to 161.65, 223.13 and 96.22

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Solution

The fourth proportional to 161.65, 223.13 and 96.22 is: 132.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.65 : 223.13 = 96.22 : x
  2. Step 2: Convert to fraction form
    161.65/223.13 = 96.22/x
  3. Step 3: Cross multiply
    161.65x = 223.13 × 96.22
  4. Step 4: Simplify right side
    161.65x = 21,469.57
  5. Step 5: Solve for x
    x = 21,469.57/161.65
  6. Step 6: Final answer
    x = 132.82

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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.