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Finding the Fourth Proportional to 81.33, 112.23 and 50.24

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Solution

The fourth proportional to 81.33, 112.23 and 50.24 is: 69.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.33 : 112.23 = 50.24 : x
  2. Step 2: Convert to fraction form
    81.33/112.23 = 50.24/x
  3. Step 3: Cross multiply
    81.33x = 112.23 × 50.24
  4. Step 4: Simplify right side
    81.33x = 5,637.87
  5. Step 5: Solve for x
    x = 5,637.87/81.33
  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.