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Finding the Fourth Proportional to 94.41, 129.87 and 82.08

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Solution

The fourth proportional to 94.41, 129.87 and 82.08 is: 112.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.41 : 129.87 = 82.08 : x
  2. Step 2: Convert to fraction form
    94.41/129.87 = 82.08/x
  3. Step 3: Cross multiply
    94.41x = 129.87 × 82.08
  4. Step 4: Simplify right side
    94.41x = 10,659.73
  5. Step 5: Solve for x
    x = 10,659.73/94.41
  6. Step 6: Final answer
    x = 112.91

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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.