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Finding the Fourth Proportional to 136.90, 205.41 and 82.06

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Solution

The fourth proportional to 136.90, 205.41 and 82.06 is: 123.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.90 : 205.41 = 82.06 : x
  2. Step 2: Convert to fraction form
    136.90/205.41 = 82.06/x
  3. Step 3: Cross multiply
    136.90x = 205.41 × 82.06
  4. Step 4: Simplify right side
    136.90x = 16,855.94
  5. Step 5: Solve for x
    x = 16,855.94/136.90
  6. Step 6: Final answer
    x = 123.13

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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.