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Finding the Fourth Proportional to 139.44, 208.89 and 105.24

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Solution

The fourth proportional to 139.44, 208.89 and 105.24 is: 157.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.44 : 208.89 = 105.24 : x
  2. Step 2: Convert to fraction form
    139.44/208.89 = 105.24/x
  3. Step 3: Cross multiply
    139.44x = 208.89 × 105.24
  4. Step 4: Simplify right side
    139.44x = 21,983.58
  5. Step 5: Solve for x
    x = 21,983.58/139.44
  6. Step 6: Final answer
    x = 157.66

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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.