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Finding the Fourth Proportional to 33.37, 49.98 and 24.31

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Solution

The fourth proportional to 33.37, 49.98 and 24.31 is: 36.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.37 : 49.98 = 24.31 : x
  2. Step 2: Convert to fraction form
    33.37/49.98 = 24.31/x
  3. Step 3: Cross multiply
    33.37x = 49.98 × 24.31
  4. Step 4: Simplify right side
    33.37x = 1,215.01
  5. Step 5: Solve for x
    x = 1,215.01/33.37
  6. Step 6: Final answer
    x = 36.41

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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.