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Finding the Fourth Proportional to 25.20, 37.82 and 22.80

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Solution

The fourth proportional to 25.20, 37.82 and 22.80 is: 34.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.20 : 37.82 = 22.80 : x
  2. Step 2: Convert to fraction form
    25.20/37.82 = 22.80/x
  3. Step 3: Cross multiply
    25.20x = 37.82 × 22.80
  4. Step 4: Simplify right side
    25.20x = 862.18
  5. Step 5: Solve for x
    x = 862.18/25.20
  6. Step 6: Final answer
    x = 34.21

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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.