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Finding the Fourth Proportional to 129.85, 194.67 and 111.49

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Solution

The fourth proportional to 129.85, 194.67 and 111.49 is: 167.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.85 : 194.67 = 111.49 : x
  2. Step 2: Convert to fraction form
    129.85/194.67 = 111.49/x
  3. Step 3: Cross multiply
    129.85x = 194.67 × 111.49
  4. Step 4: Simplify right side
    129.85x = 21,703.27
  5. Step 5: Solve for x
    x = 21,703.27/129.85
  6. Step 6: Final answer
    x = 167.14

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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.