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Finding the Fourth Proportional to 25.84, 38.78 and 13.84

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Solution

The fourth proportional to 25.84, 38.78 and 13.84 is: 20.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.84 : 38.78 = 13.84 : x
  2. Step 2: Convert to fraction form
    25.84/38.78 = 13.84/x
  3. Step 3: Cross multiply
    25.84x = 38.78 × 13.84
  4. Step 4: Simplify right side
    25.84x = 536.72
  5. Step 5: Solve for x
    x = 536.72/25.84
  6. Step 6: Final answer
    x = 20.77

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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.