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Finding the Fourth Proportional to 161.91, 242.42 and 84.71

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Solution

The fourth proportional to 161.91, 242.42 and 84.71 is: 126.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.91 : 242.42 = 84.71 : x
  2. Step 2: Convert to fraction form
    161.91/242.42 = 84.71/x
  3. Step 3: Cross multiply
    161.91x = 242.42 × 84.71
  4. Step 4: Simplify right side
    161.91x = 20,533.76
  5. Step 5: Solve for x
    x = 20,533.76/161.91
  6. Step 6: Final answer
    x = 126.82

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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.