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Finding the Fourth Proportional to 20.55, 30.81 and 13.79

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Solution

The fourth proportional to 20.55, 30.81 and 13.79 is: 20.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.55 : 30.81 = 13.79 : x
  2. Step 2: Convert to fraction form
    20.55/30.81 = 13.79/x
  3. Step 3: Cross multiply
    20.55x = 30.81 × 13.79
  4. Step 4: Simplify right side
    20.55x = 424.87
  5. Step 5: Solve for x
    x = 424.87/20.55
  6. Step 6: Final answer
    x = 20.67

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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.