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Finding the Fourth Proportional to 161.75, 223.13 and 96.24

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Solution

The fourth proportional to 161.75, 223.13 and 96.24 is: 132.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.75 : 223.13 = 96.24 : x
  2. Step 2: Convert to fraction form
    161.75/223.13 = 96.24/x
  3. Step 3: Cross multiply
    161.75x = 223.13 × 96.24
  4. Step 4: Simplify right side
    161.75x = 21,473.55
  5. Step 5: Solve for x
    x = 21,473.55/161.75
  6. Step 6: Final answer
    x = 132.76

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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.