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Finding the Fourth Proportional to 140.96, 194.49 and 85.67

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Solution

The fourth proportional to 140.96, 194.49 and 85.67 is: 118.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.96 : 194.49 = 85.67 : x
  2. Step 2: Convert to fraction form
    140.96/194.49 = 85.67/x
  3. Step 3: Cross multiply
    140.96x = 194.49 × 85.67
  4. Step 4: Simplify right side
    140.96x = 16,661.96
  5. Step 5: Solve for x
    x = 16,661.96/140.96
  6. Step 6: Final answer
    x = 118.20

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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.