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Finding the Fourth Proportional to 98.27, 135.75 and 78.73

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Solution

The fourth proportional to 98.27, 135.75 and 78.73 is: 108.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.27 : 135.75 = 78.73 : x
  2. Step 2: Convert to fraction form
    98.27/135.75 = 78.73/x
  3. Step 3: Cross multiply
    98.27x = 135.75 × 78.73
  4. Step 4: Simplify right side
    98.27x = 10,687.79
  5. Step 5: Solve for x
    x = 10,687.79/98.27
  6. Step 6: Final answer
    x = 108.76

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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.