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Finding the Fourth Proportional to 20.64, 28.50 and 13.74

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Solution

The fourth proportional to 20.64, 28.50 and 13.74 is: 18.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.64 : 28.50 = 13.74 : x
  2. Step 2: Convert to fraction form
    20.64/28.50 = 13.74/x
  3. Step 3: Cross multiply
    20.64x = 28.50 × 13.74
  4. Step 4: Simplify right side
    20.64x = 391.54
  5. Step 5: Solve for x
    x = 391.54/20.64
  6. Step 6: Final answer
    x = 18.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.