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Finding the Fourth Proportional to 161.92, 223.68 and 112.78

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Solution

The fourth proportional to 161.92, 223.68 and 112.78 is: 155.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.92 : 223.68 = 112.78 : x
  2. Step 2: Convert to fraction form
    161.92/223.68 = 112.78/x
  3. Step 3: Cross multiply
    161.92x = 223.68 × 112.78
  4. Step 4: Simplify right side
    161.92x = 25,226.63
  5. Step 5: Solve for x
    x = 25,226.63/161.92
  6. Step 6: Final answer
    x = 155.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.