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Finding the Fourth Proportional to 161.67, 242.20 and 120.97

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Solution

The fourth proportional to 161.67, 242.20 and 120.97 is: 181.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.67 : 242.20 = 120.97 : x
  2. Step 2: Convert to fraction form
    161.67/242.20 = 120.97/x
  3. Step 3: Cross multiply
    161.67x = 242.20 × 120.97
  4. Step 4: Simplify right side
    161.67x = 29,298.93
  5. Step 5: Solve for x
    x = 29,298.93/161.67
  6. Step 6: Final answer
    x = 181.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.