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Finding the Fourth Proportional to 139.22, 208.71 and 70.70

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Solution

The fourth proportional to 139.22, 208.71 and 70.70 is: 105.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.22 : 208.71 = 70.70 : x
  2. Step 2: Convert to fraction form
    139.22/208.71 = 70.70/x
  3. Step 3: Cross multiply
    139.22x = 208.71 × 70.70
  4. Step 4: Simplify right side
    139.22x = 14,754.75
  5. Step 5: Solve for x
    x = 14,754.75/139.22
  6. Step 6: Final answer
    x = 105.99

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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.