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Finding the Fourth Proportional to 129.43, 194.02 and 68.50

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Solution

The fourth proportional to 129.43, 194.02 and 68.50 is: 102.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.43 : 194.02 = 68.50 : x
  2. Step 2: Convert to fraction form
    129.43/194.02 = 68.50/x
  3. Step 3: Cross multiply
    129.43x = 194.02 × 68.50
  4. Step 4: Simplify right side
    129.43x = 13,290.37
  5. Step 5: Solve for x
    x = 13,290.37/129.43
  6. Step 6: Final answer
    x = 102.68

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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.