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Finding the Fourth Proportional to 136.20, 202.94 and 121.83

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Solution

The fourth proportional to 136.20, 202.94 and 121.83 is: 181.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.20 : 202.94 = 121.83 : x
  2. Step 2: Convert to fraction form
    136.20/202.94 = 121.83/x
  3. Step 3: Cross multiply
    136.20x = 202.94 × 121.83
  4. Step 4: Simplify right side
    136.20x = 24,723.57
  5. Step 5: Solve for x
    x = 24,723.57/136.20
  6. Step 6: Final answer
    x = 181.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.