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Finding the Fourth Proportional to 129.80, 194.48 and 119.76

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Solution

The fourth proportional to 129.80, 194.48 and 119.76 is: 179.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.80 : 194.48 = 119.76 : x
  2. Step 2: Convert to fraction form
    129.80/194.48 = 119.76/x
  3. Step 3: Cross multiply
    129.80x = 194.48 × 119.76
  4. Step 4: Simplify right side
    129.80x = 23,290.92
  5. Step 5: Solve for x
    x = 23,290.92/129.80
  6. Step 6: Final answer
    x = 179.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.