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Finding the Fourth Proportional to 139.98, 192.97 and 120.22

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Solution

The fourth proportional to 139.98, 192.97 and 120.22 is: 165.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.98 : 192.97 = 120.22 : x
  2. Step 2: Convert to fraction form
    139.98/192.97 = 120.22/x
  3. Step 3: Cross multiply
    139.98x = 192.97 × 120.22
  4. Step 4: Simplify right side
    139.98x = 23,198.07
  5. Step 5: Solve for x
    x = 23,198.07/139.98
  6. Step 6: Final answer
    x = 165.72

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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.