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Finding the Fourth Proportional to 25.75, 38.53 and 16.69

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Solution

The fourth proportional to 25.75, 38.53 and 16.69 is: 24.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.75 : 38.53 = 16.69 : x
  2. Step 2: Convert to fraction form
    25.75/38.53 = 16.69/x
  3. Step 3: Cross multiply
    25.75x = 38.53 × 16.69
  4. Step 4: Simplify right side
    25.75x = 643.07
  5. Step 5: Solve for x
    x = 643.07/25.75
  6. Step 6: Final answer
    x = 24.97

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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.