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Finding the Fourth Proportional to 25.22, 37.83 and 19.20

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Solution

The fourth proportional to 25.22, 37.83 and 19.20 is: 28.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.22 : 37.83 = 19.20 : x
  2. Step 2: Convert to fraction form
    25.22/37.83 = 19.20/x
  3. Step 3: Cross multiply
    25.22x = 37.83 × 19.20
  4. Step 4: Simplify right side
    25.22x = 726.34
  5. Step 5: Solve for x
    x = 726.34/25.22
  6. Step 6: Final answer
    x = 28.81

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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.