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Finding the Fourth Proportional to 149.75, 206.75 and 98.09

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Solution

The fourth proportional to 149.75, 206.75 and 98.09 is: 135.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.75 : 206.75 = 98.09 : x
  2. Step 2: Convert to fraction form
    149.75/206.75 = 98.09/x
  3. Step 3: Cross multiply
    149.75x = 206.75 × 98.09
  4. Step 4: Simplify right side
    149.75x = 20,279.62
  5. Step 5: Solve for x
    x = 20,279.62/149.75
  6. Step 6: Final answer
    x = 135.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.