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Finding the Fourth Proportional to 24.36, 33.46 and 22.84

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Solution

The fourth proportional to 24.36, 33.46 and 22.84 is: 31.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.36 : 33.46 = 22.84 : x
  2. Step 2: Convert to fraction form
    24.36/33.46 = 22.84/x
  3. Step 3: Cross multiply
    24.36x = 33.46 × 22.84
  4. Step 4: Simplify right side
    24.36x = 764.23
  5. Step 5: Solve for x
    x = 764.23/24.36
  6. Step 6: Final answer
    x = 31.37

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.