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Finding the Fourth Proportional to 81.91, 113.02 and 50.81

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Solution

The fourth proportional to 81.91, 113.02 and 50.81 is: 70.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.91 : 113.02 = 50.81 : x
  2. Step 2: Convert to fraction form
    81.91/113.02 = 50.81/x
  3. Step 3: Cross multiply
    81.91x = 113.02 × 50.81
  4. Step 4: Simplify right side
    81.91x = 5,743.03
  5. Step 5: Solve for x
    x = 5,743.03/81.91
  6. Step 6: Final answer
    x = 70.12

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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.