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Finding the Fourth Proportional to 24.65, 37.12 and 22.27

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Solution

The fourth proportional to 24.65, 37.12 and 22.27 is: 33.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.65 : 37.12 = 22.27 : x
  2. Step 2: Convert to fraction form
    24.65/37.12 = 22.27/x
  3. Step 3: Cross multiply
    24.65x = 37.12 × 22.27
  4. Step 4: Simplify right side
    24.65x = 826.66
  5. Step 5: Solve for x
    x = 826.66/24.65
  6. Step 6: Final answer
    x = 33.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.