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Finding the Fourth Proportional to 136.89, 205.47 and 82.08

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Solution

The fourth proportional to 136.89, 205.47 and 82.08 is: 123.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.89 : 205.47 = 82.08 : x
  2. Step 2: Convert to fraction form
    136.89/205.47 = 82.08/x
  3. Step 3: Cross multiply
    136.89x = 205.47 × 82.08
  4. Step 4: Simplify right side
    136.89x = 16,864.98
  5. Step 5: Solve for x
    x = 16,864.98/136.89
  6. Step 6: Final answer
    x = 123.20

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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.