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Finding the Fourth Proportional to 139.70, 192.80 and 81.46

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Solution

The fourth proportional to 139.70, 192.80 and 81.46 is: 112.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.70 : 192.80 = 81.46 : x
  2. Step 2: Convert to fraction form
    139.70/192.80 = 81.46/x
  3. Step 3: Cross multiply
    139.70x = 192.80 × 81.46
  4. Step 4: Simplify right side
    139.70x = 15,705.49
  5. Step 5: Solve for x
    x = 15,705.49/139.70
  6. Step 6: Final answer
    x = 112.42

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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.