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Finding the Fourth Proportional to 140.80, 194.40 and 105.92

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Solution

The fourth proportional to 140.80, 194.40 and 105.92 is: 146.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.80 : 194.40 = 105.92 : x
  2. Step 2: Convert to fraction form
    140.80/194.40 = 105.92/x
  3. Step 3: Cross multiply
    140.80x = 194.40 × 105.92
  4. Step 4: Simplify right side
    140.80x = 20,590.85
  5. Step 5: Solve for x
    x = 20,590.85/140.80
  6. Step 6: Final answer
    x = 146.24

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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.