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Finding the Fourth Proportional to 136.40, 204.82 and 121.78

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Solution

The fourth proportional to 136.40, 204.82 and 121.78 is: 182.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.40 : 204.82 = 121.78 : x
  2. Step 2: Convert to fraction form
    136.40/204.82 = 121.78/x
  3. Step 3: Cross multiply
    136.40x = 204.82 × 121.78
  4. Step 4: Simplify right side
    136.40x = 24,942.62
  5. Step 5: Solve for x
    x = 24,942.62/136.40
  6. Step 6: Final answer
    x = 182.87

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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.