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Finding the Fourth Proportional to 129.75, 193.76 and 106.86

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Solution

The fourth proportional to 129.75, 193.76 and 106.86 is: 159.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.75 : 193.76 = 106.86 : x
  2. Step 2: Convert to fraction form
    129.75/193.76 = 106.86/x
  3. Step 3: Cross multiply
    129.75x = 193.76 × 106.86
  4. Step 4: Simplify right side
    129.75x = 20,704.66
  5. Step 5: Solve for x
    x = 20,704.66/129.75
  6. Step 6: Final answer
    x = 159.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.