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Finding the Fourth Proportional to 24.56, 33.78 and 22.76

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Solution

The fourth proportional to 24.56, 33.78 and 22.76 is: 31.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.56 : 33.78 = 22.76 : x
  2. Step 2: Convert to fraction form
    24.56/33.78 = 22.76/x
  3. Step 3: Cross multiply
    24.56x = 33.78 × 22.76
  4. Step 4: Simplify right side
    24.56x = 768.83
  5. Step 5: Solve for x
    x = 768.83/24.56
  6. Step 6: Final answer
    x = 31.30

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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.