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Finding the Fourth Proportional to 136.78, 205.14 and 129.94

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Solution

The fourth proportional to 136.78, 205.14 and 129.94 is: 194.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.78 : 205.14 = 129.94 : x
  2. Step 2: Convert to fraction form
    136.78/205.14 = 129.94/x
  3. Step 3: Cross multiply
    136.78x = 205.14 × 129.94
  4. Step 4: Simplify right side
    136.78x = 26,655.89
  5. Step 5: Solve for x
    x = 26,655.89/136.78
  6. Step 6: Final answer
    x = 194.88

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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.