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Finding the Fourth Proportional to 120.38, 179.48 and 113.49

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Solution

The fourth proportional to 120.38, 179.48 and 113.49 is: 169.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.38 : 179.48 = 113.49 : x
  2. Step 2: Convert to fraction form
    120.38/179.48 = 113.49/x
  3. Step 3: Cross multiply
    120.38x = 179.48 × 113.49
  4. Step 4: Simplify right side
    120.38x = 20,369.47
  5. Step 5: Solve for x
    x = 20,369.47/120.38
  6. Step 6: Final answer
    x = 169.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.