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Finding the Fourth Proportional to 24.81, 37.23 and 20.31

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Solution

The fourth proportional to 24.81, 37.23 and 20.31 is: 30.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.81 : 37.23 = 20.31 : x
  2. Step 2: Convert to fraction form
    24.81/37.23 = 20.31/x
  3. Step 3: Cross multiply
    24.81x = 37.23 × 20.31
  4. Step 4: Simplify right side
    24.81x = 756.14
  5. Step 5: Solve for x
    x = 756.14/24.81
  6. Step 6: Final answer
    x = 30.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.