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Finding the Fourth Proportional to 129.62, 194.09 and 109.12

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Solution

The fourth proportional to 129.62, 194.09 and 109.12 is: 163.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.62 : 194.09 = 109.12 : x
  2. Step 2: Convert to fraction form
    129.62/194.09 = 109.12/x
  3. Step 3: Cross multiply
    129.62x = 194.09 × 109.12
  4. Step 4: Simplify right side
    129.62x = 21,178.07
  5. Step 5: Solve for x
    x = 21,178.07/129.62
  6. Step 6: Final answer
    x = 163.39

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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.