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Finding the Fourth Proportional to 143.70, 198.09 and 108.78

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Solution

The fourth proportional to 143.70, 198.09 and 108.78 is: 149.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.70 : 198.09 = 108.78 : x
  2. Step 2: Convert to fraction form
    143.70/198.09 = 108.78/x
  3. Step 3: Cross multiply
    143.70x = 198.09 × 108.78
  4. Step 4: Simplify right side
    143.70x = 21,548.23
  5. Step 5: Solve for x
    x = 21,548.23/143.70
  6. Step 6: Final answer
    x = 149.95

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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.