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Finding the Fourth Proportional to 139.26, 192.27 and 106.68

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Solution

The fourth proportional to 139.26, 192.27 and 106.68 is: 147.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.26 : 192.27 = 106.68 : x
  2. Step 2: Convert to fraction form
    139.26/192.27 = 106.68/x
  3. Step 3: Cross multiply
    139.26x = 192.27 × 106.68
  4. Step 4: Simplify right side
    139.26x = 20,511.36
  5. Step 5: Solve for x
    x = 20,511.36/139.26
  6. Step 6: Final answer
    x = 147.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.