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Finding the Fourth Proportional to 98.13, 134.83 and 91.81

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Solution

The fourth proportional to 98.13, 134.83 and 91.81 is: 126.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.13 : 134.83 = 91.81 : x
  2. Step 2: Convert to fraction form
    98.13/134.83 = 91.81/x
  3. Step 3: Cross multiply
    98.13x = 134.83 × 91.81
  4. Step 4: Simplify right side
    98.13x = 12,378.97
  5. Step 5: Solve for x
    x = 12,378.97/98.13
  6. Step 6: Final answer
    x = 126.15

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.