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Finding the Fourth Proportional to 140.71, 194.20 and 85.46

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Solution

The fourth proportional to 140.71, 194.20 and 85.46 is: 117.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.71 : 194.20 = 85.46 : x
  2. Step 2: Convert to fraction form
    140.71/194.20 = 85.46/x
  3. Step 3: Cross multiply
    140.71x = 194.20 × 85.46
  4. Step 4: Simplify right side
    140.71x = 16,596.24
  5. Step 5: Solve for x
    x = 16,596.24/140.71
  6. Step 6: Final answer
    x = 117.95

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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.