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Finding the Fourth Proportional to 98.13, 135.44 and 81.74

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Solution

The fourth proportional to 98.13, 135.44 and 81.74 is: 112.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.13 : 135.44 = 81.74 : x
  2. Step 2: Convert to fraction form
    98.13/135.44 = 81.74/x
  3. Step 3: Cross multiply
    98.13x = 135.44 × 81.74
  4. Step 4: Simplify right side
    98.13x = 11,069.78
  5. Step 5: Solve for x
    x = 11,069.78/98.13
  6. Step 6: Final answer
    x = 112.81

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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.