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Finding the Fourth Proportional to 24.75, 34.12 and 22.01

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Solution

The fourth proportional to 24.75, 34.12 and 22.01 is: 30.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.75 : 34.12 = 22.01 : x
  2. Step 2: Convert to fraction form
    24.75/34.12 = 22.01/x
  3. Step 3: Cross multiply
    24.75x = 34.12 × 22.01
  4. Step 4: Simplify right side
    24.75x = 750.84
  5. Step 5: Solve for x
    x = 750.84/24.75
  6. Step 6: Final answer
    x = 30.34

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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.