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Finding the Fourth Proportional to 91.42, 126.17 and 76.84

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Solution

The fourth proportional to 91.42, 126.17 and 76.84 is: 106.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.42 : 126.17 = 76.84 : x
  2. Step 2: Convert to fraction form
    91.42/126.17 = 76.84/x
  3. Step 3: Cross multiply
    91.42x = 126.17 × 76.84
  4. Step 4: Simplify right side
    91.42x = 9,694.90
  5. Step 5: Solve for x
    x = 9,694.90/91.42
  6. Step 6: Final answer
    x = 106.05

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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.