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Finding the Fourth Proportional to 139.01, 192.09 and 119.42

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Solution

The fourth proportional to 139.01, 192.09 and 119.42 is: 165.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.01 : 192.09 = 119.42 : x
  2. Step 2: Convert to fraction form
    139.01/192.09 = 119.42/x
  3. Step 3: Cross multiply
    139.01x = 192.09 × 119.42
  4. Step 4: Simplify right side
    139.01x = 22,938.43
  5. Step 5: Solve for x
    x = 22,938.43/139.01
  6. Step 6: Final answer
    x = 165.02

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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.