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Finding the Fourth Proportional to 129.48, 194.20 and 52.46

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Solution

The fourth proportional to 129.48, 194.20 and 52.46 is: 78.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.48 : 194.20 = 52.46 : x
  2. Step 2: Convert to fraction form
    129.48/194.20 = 52.46/x
  3. Step 3: Cross multiply
    129.48x = 194.20 × 52.46
  4. Step 4: Simplify right side
    129.48x = 10,187.36
  5. Step 5: Solve for x
    x = 10,187.36/129.48
  6. Step 6: Final answer
    x = 78.68

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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.