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Finding the Fourth Proportional to 36.46, 50.31 and 21.91

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Solution

The fourth proportional to 36.46, 50.31 and 21.91 is: 30.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.46 : 50.31 = 21.91 : x
  2. Step 2: Convert to fraction form
    36.46/50.31 = 21.91/x
  3. Step 3: Cross multiply
    36.46x = 50.31 × 21.91
  4. Step 4: Simplify right side
    36.46x = 1,102.29
  5. Step 5: Solve for x
    x = 1,102.29/36.46
  6. Step 6: Final answer
    x = 30.23

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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.