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Finding the Fourth Proportional to 161.17, 222.20 and 108.72

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Solution

The fourth proportional to 161.17, 222.20 and 108.72 is: 149.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.17 : 222.20 = 108.72 : x
  2. Step 2: Convert to fraction form
    161.17/222.20 = 108.72/x
  3. Step 3: Cross multiply
    161.17x = 222.20 × 108.72
  4. Step 4: Simplify right side
    161.17x = 24,157.58
  5. Step 5: Solve for x
    x = 24,157.58/161.17
  6. Step 6: Final answer
    x = 149.89

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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.