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Finding the Fourth Proportional to 161.20, 222.42 and 95.77

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Solution

The fourth proportional to 161.20, 222.42 and 95.77 is: 132.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.20 : 222.42 = 95.77 : x
  2. Step 2: Convert to fraction form
    161.20/222.42 = 95.77/x
  3. Step 3: Cross multiply
    161.20x = 222.42 × 95.77
  4. Step 4: Simplify right side
    161.20x = 21,301.16
  5. Step 5: Solve for x
    x = 21,301.16/161.20
  6. Step 6: Final answer
    x = 132.14

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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.