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Finding the Fourth Proportional to 139.06, 191.76 and 119.46

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Solution

The fourth proportional to 139.06, 191.76 and 119.46 is: 164.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.06 : 191.76 = 119.46 : x
  2. Step 2: Convert to fraction form
    139.06/191.76 = 119.46/x
  3. Step 3: Cross multiply
    139.06x = 191.76 × 119.46
  4. Step 4: Simplify right side
    139.06x = 22,907.65
  5. Step 5: Solve for x
    x = 22,907.65/139.06
  6. Step 6: Final answer
    x = 164.73

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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.