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Finding the Fourth Proportional to 161.82, 242.55 and 80.49

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Solution

The fourth proportional to 161.82, 242.55 and 80.49 is: 120.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.82 : 242.55 = 80.49 : x
  2. Step 2: Convert to fraction form
    161.82/242.55 = 80.49/x
  3. Step 3: Cross multiply
    161.82x = 242.55 × 80.49
  4. Step 4: Simplify right side
    161.82x = 19,522.85
  5. Step 5: Solve for x
    x = 19,522.85/161.82
  6. Step 6: Final answer
    x = 120.65

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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.