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Finding the Fourth Proportional to 136.71, 204.96 and 82.59

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Solution

The fourth proportional to 136.71, 204.96 and 82.59 is: 123.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.71 : 204.96 = 82.59 : x
  2. Step 2: Convert to fraction form
    136.71/204.96 = 82.59/x
  3. Step 3: Cross multiply
    136.71x = 204.96 × 82.59
  4. Step 4: Simplify right side
    136.71x = 16,927.65
  5. Step 5: Solve for x
    x = 16,927.65/136.71
  6. Step 6: Final answer
    x = 123.82

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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.