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Finding the Fourth Proportional to 139.41, 192.23 and 97.94

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Solution

The fourth proportional to 139.41, 192.23 and 97.94 is: 135.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.41 : 192.23 = 97.94 : x
  2. Step 2: Convert to fraction form
    139.41/192.23 = 97.94/x
  3. Step 3: Cross multiply
    139.41x = 192.23 × 97.94
  4. Step 4: Simplify right side
    139.41x = 18,825.56
  5. Step 5: Solve for x
    x = 18,825.56/139.41
  6. Step 6: Final answer
    x = 135.04

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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.