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Finding the Fourth Proportional to 25.33, 38.00 and 11.82

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Solution

The fourth proportional to 25.33, 38.00 and 11.82 is: 17.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.33 : 38.00 = 11.82 : x
  2. Step 2: Convert to fraction form
    25.33/38.00 = 11.82/x
  3. Step 3: Cross multiply
    25.33x = 38.00 × 11.82
  4. Step 4: Simplify right side
    25.33x = 448.94
  5. Step 5: Solve for x
    x = 448.94/25.33
  6. Step 6: Final answer
    x = 17.72

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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.