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Finding the Fourth Proportional to 139.26, 208.86 and 85.17

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Solution

The fourth proportional to 139.26, 208.86 and 85.17 is: 127.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.26 : 208.86 = 85.17 : x
  2. Step 2: Convert to fraction form
    139.26/208.86 = 85.17/x
  3. Step 3: Cross multiply
    139.26x = 208.86 × 85.17
  4. Step 4: Simplify right side
    139.26x = 17,788.61
  5. Step 5: Solve for x
    x = 17,788.61/139.26
  6. Step 6: Final answer
    x = 127.74

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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.