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Finding the Fourth Proportional to 98.27, 135.71 and 67.13

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Solution

The fourth proportional to 98.27, 135.71 and 67.13 is: 92.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.27 : 135.71 = 67.13 : x
  2. Step 2: Convert to fraction form
    98.27/135.71 = 67.13/x
  3. Step 3: Cross multiply
    98.27x = 135.71 × 67.13
  4. Step 4: Simplify right side
    98.27x = 9,109.70
  5. Step 5: Solve for x
    x = 9,109.70/98.27
  6. Step 6: Final answer
    x = 92.71

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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.