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Finding the Fourth Proportional to 139.20, 191.61 and 123

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Solution

The fourth proportional to 139.20, 191.61 and 123 is: 169.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.20 : 191.61 = 123 : x
  2. Step 2: Convert to fraction form
    139.20/191.61 = 123/x
  3. Step 3: Cross multiply
    139.20x = 191.61 × 123
  4. Step 4: Simplify right side
    139.20x = 23,568.03
  5. Step 5: Solve for x
    x = 23,568.03/139.20
  6. Step 6: Final answer
    x = 169.31

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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.