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Finding the Fourth Proportional to 139.22, 192.20 and 108.07

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Solution

The fourth proportional to 139.22, 192.20 and 108.07 is: 149.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.22 : 192.20 = 108.07 : x
  2. Step 2: Convert to fraction form
    139.22/192.20 = 108.07/x
  3. Step 3: Cross multiply
    139.22x = 192.20 × 108.07
  4. Step 4: Simplify right side
    139.22x = 20,771.05
  5. Step 5: Solve for x
    x = 20,771.05/139.22
  6. Step 6: Final answer
    x = 149.20

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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.