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Finding the Fourth Proportional to 129.24, 194.44 and 108.76

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Solution

The fourth proportional to 129.24, 194.44 and 108.76 is: 163.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.24 : 194.44 = 108.76 : x
  2. Step 2: Convert to fraction form
    129.24/194.44 = 108.76/x
  3. Step 3: Cross multiply
    129.24x = 194.44 × 108.76
  4. Step 4: Simplify right side
    129.24x = 21,147.29
  5. Step 5: Solve for x
    x = 21,147.29/129.24
  6. Step 6: Final answer
    x = 163.63

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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.