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Finding the Fourth Proportional to 139.74, 192.42 and 121.32

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Solution

The fourth proportional to 139.74, 192.42 and 121.32 is: 167.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.74 : 192.42 = 121.32 : x
  2. Step 2: Convert to fraction form
    139.74/192.42 = 121.32/x
  3. Step 3: Cross multiply
    139.74x = 192.42 × 121.32
  4. Step 4: Simplify right side
    139.74x = 23,344.39
  5. Step 5: Solve for x
    x = 23,344.39/139.74
  6. Step 6: Final answer
    x = 167.06

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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.