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Finding the Fourth Proportional to 129.44, 194.23 and 52.39

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Solution

The fourth proportional to 129.44, 194.23 and 52.39 is: 78.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.44 : 194.23 = 52.39 : x
  2. Step 2: Convert to fraction form
    129.44/194.23 = 52.39/x
  3. Step 3: Cross multiply
    129.44x = 194.23 × 52.39
  4. Step 4: Simplify right side
    129.44x = 10,175.71
  5. Step 5: Solve for x
    x = 10,175.71/129.44
  6. Step 6: Final answer
    x = 78.61

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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.