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Finding the Fourth Proportional to 129.58, 194.09 and 81.25

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Solution

The fourth proportional to 129.58, 194.09 and 81.25 is: 121.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.58 : 194.09 = 81.25 : x
  2. Step 2: Convert to fraction form
    129.58/194.09 = 81.25/x
  3. Step 3: Cross multiply
    129.58x = 194.09 × 81.25
  4. Step 4: Simplify right side
    129.58x = 15,769.81
  5. Step 5: Solve for x
    x = 15,769.81/129.58
  6. Step 6: Final answer
    x = 121.70

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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.