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Finding the Fourth Proportional to 24.50, 33.78 and 22.24

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Solution

The fourth proportional to 24.50, 33.78 and 22.24 is: 30.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.50 : 33.78 = 22.24 : x
  2. Step 2: Convert to fraction form
    24.50/33.78 = 22.24/x
  3. Step 3: Cross multiply
    24.50x = 33.78 × 22.24
  4. Step 4: Simplify right side
    24.50x = 751.39
  5. Step 5: Solve for x
    x = 751.39/24.50
  6. Step 6: Final answer
    x = 30.67

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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.