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Finding the Fourth Proportional to 140.66, 194.11 and 85.39

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Solution

The fourth proportional to 140.66, 194.11 and 85.39 is: 117.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.66 : 194.11 = 85.39 : x
  2. Step 2: Convert to fraction form
    140.66/194.11 = 85.39/x
  3. Step 3: Cross multiply
    140.66x = 194.11 × 85.39
  4. Step 4: Simplify right side
    140.66x = 16,575.05
  5. Step 5: Solve for x
    x = 16,575.05/140.66
  6. Step 6: Final answer
    x = 117.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.