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Finding the Fourth Proportional to 161.24, 242.20 and 92.89

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Solution

The fourth proportional to 161.24, 242.20 and 92.89 is: 139.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.24 : 242.20 = 92.89 : x
  2. Step 2: Convert to fraction form
    161.24/242.20 = 92.89/x
  3. Step 3: Cross multiply
    161.24x = 242.20 × 92.89
  4. Step 4: Simplify right side
    161.24x = 22,497.49
  5. Step 5: Solve for x
    x = 22,497.49/161.24
  6. Step 6: Final answer
    x = 139.53

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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.