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Finding the Fourth Proportional to 129.71, 194.37 and 77.57

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Solution

The fourth proportional to 129.71, 194.37 and 77.57 is: 116.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.71 : 194.37 = 77.57 : x
  2. Step 2: Convert to fraction form
    129.71/194.37 = 77.57/x
  3. Step 3: Cross multiply
    129.71x = 194.37 × 77.57
  4. Step 4: Simplify right side
    129.71x = 15,076.75
  5. Step 5: Solve for x
    x = 15,076.75/129.71
  6. Step 6: Final answer
    x = 116.23

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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.