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Finding the Fourth Proportional to 25.22, 34.84 and 22.02

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Solution

The fourth proportional to 25.22, 34.84 and 22.02 is: 30.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.22 : 34.84 = 22.02 : x
  2. Step 2: Convert to fraction form
    25.22/34.84 = 22.02/x
  3. Step 3: Cross multiply
    25.22x = 34.84 × 22.02
  4. Step 4: Simplify right side
    25.22x = 767.18
  5. Step 5: Solve for x
    x = 767.18/25.22
  6. Step 6: Final answer
    x = 30.42

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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.