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Finding the Fourth Proportional to 161.87, 223.65 and 112.97

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Solution

The fourth proportional to 161.87, 223.65 and 112.97 is: 156.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.87 : 223.65 = 112.97 : x
  2. Step 2: Convert to fraction form
    161.87/223.65 = 112.97/x
  3. Step 3: Cross multiply
    161.87x = 223.65 × 112.97
  4. Step 4: Simplify right side
    161.87x = 25,264.62
  5. Step 5: Solve for x
    x = 25,264.62/161.87
  6. Step 6: Final answer
    x = 156.08

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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.