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Finding the Fourth Proportional to 24.40, 33.52 and 22.40

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Solution

The fourth proportional to 24.40, 33.52 and 22.40 is: 30.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.40 : 33.52 = 22.40 : x
  2. Step 2: Convert to fraction form
    24.40/33.52 = 22.40/x
  3. Step 3: Cross multiply
    24.40x = 33.52 × 22.40
  4. Step 4: Simplify right side
    24.40x = 750.85
  5. Step 5: Solve for x
    x = 750.85/24.40
  6. Step 6: Final answer
    x = 30.77

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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.