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Finding the Fourth Proportional to 139.73, 193.01 and 106.92

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Solution

The fourth proportional to 139.73, 193.01 and 106.92 is: 147.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.73 : 193.01 = 106.92 : x
  2. Step 2: Convert to fraction form
    139.73/193.01 = 106.92/x
  3. Step 3: Cross multiply
    139.73x = 193.01 × 106.92
  4. Step 4: Simplify right side
    139.73x = 20,636.09
  5. Step 5: Solve for x
    x = 20,636.09/139.73
  6. Step 6: Final answer
    x = 147.69

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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.