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Finding the Fourth Proportional to 136.82, 205.34 and 63.73

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Solution

The fourth proportional to 136.82, 205.34 and 63.73 is: 95.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.82 : 205.34 = 63.73 : x
  2. Step 2: Convert to fraction form
    136.82/205.34 = 63.73/x
  3. Step 3: Cross multiply
    136.82x = 205.34 × 63.73
  4. Step 4: Simplify right side
    136.82x = 13,086.23
  5. Step 5: Solve for x
    x = 13,086.23/136.82
  6. Step 6: Final answer
    x = 95.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.