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Finding the Fourth Proportional to 13.85, 20.78 and 5.84

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Solution

The fourth proportional to 13.85, 20.78 and 5.84 is: 8.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.85 : 20.78 = 5.84 : x
  2. Step 2: Convert to fraction form
    13.85/20.78 = 5.84/x
  3. Step 3: Cross multiply
    13.85x = 20.78 × 5.84
  4. Step 4: Simplify right side
    13.85x = 121.36
  5. Step 5: Solve for x
    x = 121.36/13.85
  6. Step 6: Final answer
    x = 8.76

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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.