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Finding the Fourth Proportional to 129.98, 194.97 and 102.89

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Solution

The fourth proportional to 129.98, 194.97 and 102.89 is: 154.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.98 : 194.97 = 102.89 : x
  2. Step 2: Convert to fraction form
    129.98/194.97 = 102.89/x
  3. Step 3: Cross multiply
    129.98x = 194.97 × 102.89
  4. Step 4: Simplify right side
    129.98x = 20,060.46
  5. Step 5: Solve for x
    x = 20,060.46/129.98
  6. Step 6: Final answer
    x = 154.34

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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.