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Finding the Fourth Proportional to 127.91, 190.97 and 120.19

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Solution

The fourth proportional to 127.91, 190.97 and 120.19 is: 179.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.91 : 190.97 = 120.19 : x
  2. Step 2: Convert to fraction form
    127.91/190.97 = 120.19/x
  3. Step 3: Cross multiply
    127.91x = 190.97 × 120.19
  4. Step 4: Simplify right side
    127.91x = 22,952.68
  5. Step 5: Solve for x
    x = 22,952.68/127.91
  6. Step 6: Final answer
    x = 179.44

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.