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Finding the Fourth Proportional to 25.27, 37.89 and 13.84

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Solution

The fourth proportional to 25.27, 37.89 and 13.84 is: 20.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.27 : 37.89 = 13.84 : x
  2. Step 2: Convert to fraction form
    25.27/37.89 = 13.84/x
  3. Step 3: Cross multiply
    25.27x = 37.89 × 13.84
  4. Step 4: Simplify right side
    25.27x = 524.40
  5. Step 5: Solve for x
    x = 524.40/25.27
  6. Step 6: Final answer
    x = 20.75

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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.