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Finding the Fourth Proportional to 139.84, 193.01 and 81.63

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Solution

The fourth proportional to 139.84, 193.01 and 81.63 is: 112.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.84 : 193.01 = 81.63 : x
  2. Step 2: Convert to fraction form
    139.84/193.01 = 81.63/x
  3. Step 3: Cross multiply
    139.84x = 193.01 × 81.63
  4. Step 4: Simplify right side
    139.84x = 15,755.41
  5. Step 5: Solve for x
    x = 15,755.41/139.84
  6. Step 6: Final answer
    x = 112.67

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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.