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Finding the Fourth Proportional to 149.31, 205.97 and 96.87

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Solution

The fourth proportional to 149.31, 205.97 and 96.87 is: 133.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.31 : 205.97 = 96.87 : x
  2. Step 2: Convert to fraction form
    149.31/205.97 = 96.87/x
  3. Step 3: Cross multiply
    149.31x = 205.97 × 96.87
  4. Step 4: Simplify right side
    149.31x = 19,951.78
  5. Step 5: Solve for x
    x = 19,951.78/149.31
  6. Step 6: Final answer
    x = 133.63

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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.