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Finding the Fourth Proportional to 140.80, 194.40 and 103.96

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Solution

The fourth proportional to 140.80, 194.40 and 103.96 is: 143.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.80 : 194.40 = 103.96 : x
  2. Step 2: Convert to fraction form
    140.80/194.40 = 103.96/x
  3. Step 3: Cross multiply
    140.80x = 194.40 × 103.96
  4. Step 4: Simplify right side
    140.80x = 20,209.82
  5. Step 5: Solve for x
    x = 20,209.82/140.80
  6. Step 6: Final answer
    x = 143.54

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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.