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Finding the Fourth Proportional to 139.04, 191.74 and 119.44

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Solution

The fourth proportional to 139.04, 191.74 and 119.44 is: 164.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.04 : 191.74 = 119.44 : x
  2. Step 2: Convert to fraction form
    139.04/191.74 = 119.44/x
  3. Step 3: Cross multiply
    139.04x = 191.74 × 119.44
  4. Step 4: Simplify right side
    139.04x = 22,900.65
  5. Step 5: Solve for x
    x = 22,900.65/139.04
  6. Step 6: Final answer
    x = 164.71

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Why These Related Problems?

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