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Finding the Fourth Proportional to 161.27, 242.12 and 84.29

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Solution

The fourth proportional to 161.27, 242.12 and 84.29 is: 126.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.27 : 242.12 = 84.29 : x
  2. Step 2: Convert to fraction form
    161.27/242.12 = 84.29/x
  3. Step 3: Cross multiply
    161.27x = 242.12 × 84.29
  4. Step 4: Simplify right side
    161.27x = 20,408.08
  5. Step 5: Solve for x
    x = 20,408.08/161.27
  6. Step 6: Final answer
    x = 126.55

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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.