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Finding the Fourth Proportional to 140.81, 194.07 and 103.95

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Solution

The fourth proportional to 140.81, 194.07 and 103.95 is: 143.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.81 : 194.07 = 103.95 : x
  2. Step 2: Convert to fraction form
    140.81/194.07 = 103.95/x
  3. Step 3: Cross multiply
    140.81x = 194.07 × 103.95
  4. Step 4: Simplify right side
    140.81x = 20,173.58
  5. Step 5: Solve for x
    x = 20,173.58/140.81
  6. Step 6: Final answer
    x = 143.27

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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.