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Finding the Fourth Proportional to 138.47, 190.99 and 119.03

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Solution

The fourth proportional to 138.47, 190.99 and 119.03 is: 164.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.47 : 190.99 = 119.03 : x
  2. Step 2: Convert to fraction form
    138.47/190.99 = 119.03/x
  3. Step 3: Cross multiply
    138.47x = 190.99 × 119.03
  4. Step 4: Simplify right side
    138.47x = 22,734.15
  5. Step 5: Solve for x
    x = 22,734.15/138.47
  6. Step 6: Final answer
    x = 164.18

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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.