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Finding the Fourth Proportional to 25.42, 35.11 and 22.18

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Solution

The fourth proportional to 25.42, 35.11 and 22.18 is: 30.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.42 : 35.11 = 22.18 : x
  2. Step 2: Convert to fraction form
    25.42/35.11 = 22.18/x
  3. Step 3: Cross multiply
    25.42x = 35.11 × 22.18
  4. Step 4: Simplify right side
    25.42x = 778.74
  5. Step 5: Solve for x
    x = 778.74/25.42
  6. Step 6: Final answer
    x = 30.63

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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.