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Finding the Fourth Proportional to 139.40, 208.83 and 96.09

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Solution

The fourth proportional to 139.40, 208.83 and 96.09 is: 143.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.40 : 208.83 = 96.09 : x
  2. Step 2: Convert to fraction form
    139.40/208.83 = 96.09/x
  3. Step 3: Cross multiply
    139.40x = 208.83 × 96.09
  4. Step 4: Simplify right side
    139.40x = 20,065.51
  5. Step 5: Solve for x
    x = 20,065.51/139.40
  6. Step 6: Final answer
    x = 143.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.