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Finding the Fourth Proportional to 94.31, 129.83 and 81.98

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Solution

The fourth proportional to 94.31, 129.83 and 81.98 is: 112.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.31 : 129.83 = 81.98 : x
  2. Step 2: Convert to fraction form
    94.31/129.83 = 81.98/x
  3. Step 3: Cross multiply
    94.31x = 129.83 × 81.98
  4. Step 4: Simplify right side
    94.31x = 10,642.40
  5. Step 5: Solve for x
    x = 10,642.40/94.31
  6. Step 6: Final answer
    x = 112.85

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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.