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Finding the Fourth Proportional to 149.49, 206.24 and 83.98

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Solution

The fourth proportional to 149.49, 206.24 and 83.98 is: 115.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.49 : 206.24 = 83.98 : x
  2. Step 2: Convert to fraction form
    149.49/206.24 = 83.98/x
  3. Step 3: Cross multiply
    149.49x = 206.24 × 83.98
  4. Step 4: Simplify right side
    149.49x = 17,319.73
  5. Step 5: Solve for x
    x = 17,319.73/149.49
  6. Step 6: Final answer
    x = 115.86

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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.