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Finding the Fourth Proportional to 140.86, 194.31 and 82.60

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Solution

The fourth proportional to 140.86, 194.31 and 82.60 is: 113.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.86 : 194.31 = 82.60 : x
  2. Step 2: Convert to fraction form
    140.86/194.31 = 82.60/x
  3. Step 3: Cross multiply
    140.86x = 194.31 × 82.60
  4. Step 4: Simplify right side
    140.86x = 16,050.01
  5. Step 5: Solve for x
    x = 16,050.01/140.86
  6. Step 6: Final answer
    x = 113.94

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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.