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Finding the Fourth Proportional to 139.98, 193.54 and 122.68

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Solution

The fourth proportional to 139.98, 193.54 and 122.68 is: 169.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.98 : 193.54 = 122.68 : x
  2. Step 2: Convert to fraction form
    139.98/193.54 = 122.68/x
  3. Step 3: Cross multiply
    139.98x = 193.54 × 122.68
  4. Step 4: Simplify right side
    139.98x = 23,743.49
  5. Step 5: Solve for x
    x = 23,743.49/139.98
  6. Step 6: Final answer
    x = 169.62

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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.