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Finding the Fourth Proportional to 129.98, 194.98 and 113.78

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Solution

The fourth proportional to 129.98, 194.98 and 113.78 is: 170.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.98 : 194.98 = 113.78 : x
  2. Step 2: Convert to fraction form
    129.98/194.98 = 113.78/x
  3. Step 3: Cross multiply
    129.98x = 194.98 × 113.78
  4. Step 4: Simplify right side
    129.98x = 22,184.82
  5. Step 5: Solve for x
    x = 22,184.82/129.98
  6. Step 6: Final answer
    x = 170.68

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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.