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Finding the Fourth Proportional to 139.14, 208.41 and 103.38

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Solution

The fourth proportional to 139.14, 208.41 and 103.38 is: 154.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.14 : 208.41 = 103.38 : x
  2. Step 2: Convert to fraction form
    139.14/208.41 = 103.38/x
  3. Step 3: Cross multiply
    139.14x = 208.41 × 103.38
  4. Step 4: Simplify right side
    139.14x = 21,545.43
  5. Step 5: Solve for x
    x = 21,545.43/139.14
  6. Step 6: Final answer
    x = 154.85

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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.