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Finding the Fourth Proportional to 83.07, 113.96 and 78.41

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Solution

The fourth proportional to 83.07, 113.96 and 78.41 is: 107.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.07 : 113.96 = 78.41 : x
  2. Step 2: Convert to fraction form
    83.07/113.96 = 78.41/x
  3. Step 3: Cross multiply
    83.07x = 113.96 × 78.41
  4. Step 4: Simplify right side
    83.07x = 8,936.08
  5. Step 5: Solve for x
    x = 8,936.08/83.07
  6. Step 6: Final answer
    x = 107.57

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.