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Finding the Fourth Proportional to 24.45, 36.77 and 22.79

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Solution

The fourth proportional to 24.45, 36.77 and 22.79 is: 34.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.45 : 36.77 = 22.79 : x
  2. Step 2: Convert to fraction form
    24.45/36.77 = 22.79/x
  3. Step 3: Cross multiply
    24.45x = 36.77 × 22.79
  4. Step 4: Simplify right side
    24.45x = 837.69
  5. Step 5: Solve for x
    x = 837.69/24.45
  6. Step 6: Final answer
    x = 34.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.