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Finding the Fourth Proportional to 139.72, 209.38 and 105.39

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Solution

The fourth proportional to 139.72, 209.38 and 105.39 is: 157.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.72 : 209.38 = 105.39 : x
  2. Step 2: Convert to fraction form
    139.72/209.38 = 105.39/x
  3. Step 3: Cross multiply
    139.72x = 209.38 × 105.39
  4. Step 4: Simplify right side
    139.72x = 22,066.56
  5. Step 5: Solve for x
    x = 22,066.56/139.72
  6. Step 6: Final answer
    x = 157.93

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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.