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Finding the Fourth Proportional to 33.81, 50.64 and 24.16

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Solution

The fourth proportional to 33.81, 50.64 and 24.16 is: 36.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.81 : 50.64 = 24.16 : x
  2. Step 2: Convert to fraction form
    33.81/50.64 = 24.16/x
  3. Step 3: Cross multiply
    33.81x = 50.64 × 24.16
  4. Step 4: Simplify right side
    33.81x = 1,223.46
  5. Step 5: Solve for x
    x = 1,223.46/33.81
  6. Step 6: Final answer
    x = 36.19

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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.