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Finding the Fourth Proportional to 25.84, 38.78 and 19.48

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Solution

The fourth proportional to 25.84, 38.78 and 19.48 is: 29.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.84 : 38.78 = 19.48 : x
  2. Step 2: Convert to fraction form
    25.84/38.78 = 19.48/x
  3. Step 3: Cross multiply
    25.84x = 38.78 × 19.48
  4. Step 4: Simplify right side
    25.84x = 755.43
  5. Step 5: Solve for x
    x = 755.43/25.84
  6. Step 6: Final answer
    x = 29.24

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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.