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Finding the Fourth Proportional to 91.96, 126.83 and 75.44

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Solution

The fourth proportional to 91.96, 126.83 and 75.44 is: 104.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.96 : 126.83 = 75.44 : x
  2. Step 2: Convert to fraction form
    91.96/126.83 = 75.44/x
  3. Step 3: Cross multiply
    91.96x = 126.83 × 75.44
  4. Step 4: Simplify right side
    91.96x = 9,568.56
  5. Step 5: Solve for x
    x = 9,568.56/91.96
  6. Step 6: Final answer
    x = 104.05

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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.