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Finding the Fourth Proportional to 25.67, 38.50 and 12.83

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Solution

The fourth proportional to 25.67, 38.50 and 12.83 is: 19.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.67 : 38.50 = 12.83 : x
  2. Step 2: Convert to fraction form
    25.67/38.50 = 12.83/x
  3. Step 3: Cross multiply
    25.67x = 38.50 × 12.83
  4. Step 4: Simplify right side
    25.67x = 494.09
  5. Step 5: Solve for x
    x = 494.09/25.67
  6. Step 6: Final answer
    x = 19.25

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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.