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Finding the Fourth Proportional to 161.77, 223.03 and 109.24

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Solution

The fourth proportional to 161.77, 223.03 and 109.24 is: 150.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.77 : 223.03 = 109.24 : x
  2. Step 2: Convert to fraction form
    161.77/223.03 = 109.24/x
  3. Step 3: Cross multiply
    161.77x = 223.03 × 109.24
  4. Step 4: Simplify right side
    161.77x = 24,363.80
  5. Step 5: Solve for x
    x = 24,363.80/161.77
  6. Step 6: Final answer
    x = 150.61

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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.