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Finding the Fourth Proportional to 140.81, 194.27 and 81.77

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Solution

The fourth proportional to 140.81, 194.27 and 81.77 is: 112.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.81 : 194.27 = 81.77 : x
  2. Step 2: Convert to fraction form
    140.81/194.27 = 81.77/x
  3. Step 3: Cross multiply
    140.81x = 194.27 × 81.77
  4. Step 4: Simplify right side
    140.81x = 15,884.08
  5. Step 5: Solve for x
    x = 15,884.08/140.81
  6. Step 6: Final answer
    x = 112.81

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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.