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Finding the Fourth Proportional to 129.86, 194.83 and 106.76

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Solution

The fourth proportional to 129.86, 194.83 and 106.76 is: 160.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.86 : 194.83 = 106.76 : x
  2. Step 2: Convert to fraction form
    129.86/194.83 = 106.76/x
  3. Step 3: Cross multiply
    129.86x = 194.83 × 106.76
  4. Step 4: Simplify right side
    129.86x = 20,800.62
  5. Step 5: Solve for x
    x = 20,800.62/129.86
  6. Step 6: Final answer
    x = 160.17

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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.