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Finding the Fourth Proportional to 139.82, 192.90 and 81.62

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Solution

The fourth proportional to 139.82, 192.90 and 81.62 is: 112.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.82 : 192.90 = 81.62 : x
  2. Step 2: Convert to fraction form
    139.82/192.90 = 81.62/x
  3. Step 3: Cross multiply
    139.82x = 192.90 × 81.62
  4. Step 4: Simplify right side
    139.82x = 15,744.50
  5. Step 5: Solve for x
    x = 15,744.50/139.82
  6. Step 6: Final answer
    x = 112.61

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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.