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Finding the Fourth Proportional to 91.48, 126.18 and 82.12

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Solution

The fourth proportional to 91.48, 126.18 and 82.12 is: 113.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.48 : 126.18 = 82.12 : x
  2. Step 2: Convert to fraction form
    91.48/126.18 = 82.12/x
  3. Step 3: Cross multiply
    91.48x = 126.18 × 82.12
  4. Step 4: Simplify right side
    91.48x = 10,361.90
  5. Step 5: Solve for x
    x = 10,361.90/91.48
  6. Step 6: Final answer
    x = 113.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.