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Finding the Fourth Proportional to 25.22, 37.65 and 19.22

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Solution

The fourth proportional to 25.22, 37.65 and 19.22 is: 28.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.22 : 37.65 = 19.22 : x
  2. Step 2: Convert to fraction form
    25.22/37.65 = 19.22/x
  3. Step 3: Cross multiply
    25.22x = 37.65 × 19.22
  4. Step 4: Simplify right side
    25.22x = 723.44
  5. Step 5: Solve for x
    x = 723.44/25.22
  6. Step 6: Final answer
    x = 28.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.