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Finding the Fourth Proportional to 24.10, 33.26 and 22.01

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Solution

The fourth proportional to 24.10, 33.26 and 22.01 is: 30.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.10 : 33.26 = 22.01 : x
  2. Step 2: Convert to fraction form
    24.10/33.26 = 22.01/x
  3. Step 3: Cross multiply
    24.10x = 33.26 × 22.01
  4. Step 4: Simplify right side
    24.10x = 732.05
  5. Step 5: Solve for x
    x = 732.05/24.10
  6. Step 6: Final answer
    x = 30.38

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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.