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Finding the Fourth Proportional to 139.82, 192.98 and 84.56

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Solution

The fourth proportional to 139.82, 192.98 and 84.56 is: 116.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.82 : 192.98 = 84.56 : x
  2. Step 2: Convert to fraction form
    139.82/192.98 = 84.56/x
  3. Step 3: Cross multiply
    139.82x = 192.98 × 84.56
  4. Step 4: Simplify right side
    139.82x = 16,317.97
  5. Step 5: Solve for x
    x = 16,317.97/139.82
  6. Step 6: Final answer
    x = 116.71

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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.