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Finding the Fourth Proportional to 136.72, 205.02 and 82

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Solution

The fourth proportional to 136.72, 205.02 and 82 is: 122.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.72 : 205.02 = 82 : x
  2. Step 2: Convert to fraction form
    136.72/205.02 = 82/x
  3. Step 3: Cross multiply
    136.72x = 205.02 × 82
  4. Step 4: Simplify right side
    136.72x = 16,811.64
  5. Step 5: Solve for x
    x = 16,811.64/136.72
  6. Step 6: Final answer
    x = 122.96

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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.