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Finding the Fourth Proportional to 129.80, 194.49 and 93.75

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Solution

The fourth proportional to 129.80, 194.49 and 93.75 is: 140.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.80 : 194.49 = 93.75 : x
  2. Step 2: Convert to fraction form
    129.80/194.49 = 93.75/x
  3. Step 3: Cross multiply
    129.80x = 194.49 × 93.75
  4. Step 4: Simplify right side
    129.80x = 18,233.44
  5. Step 5: Solve for x
    x = 18,233.44/129.80
  6. Step 6: Final answer
    x = 140.48

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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.