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Finding the Fourth Proportional to 81.31, 112.22 and 50.23

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Solution

The fourth proportional to 81.31, 112.22 and 50.23 is: 69.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.31 : 112.22 = 50.23 : x
  2. Step 2: Convert to fraction form
    81.31/112.22 = 50.23/x
  3. Step 3: Cross multiply
    81.31x = 112.22 × 50.23
  4. Step 4: Simplify right side
    81.31x = 5,636.81
  5. Step 5: Solve for x
    x = 5,636.81/81.31
  6. Step 6: Final answer
    x = 69.32

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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.