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Finding the Fourth Proportional to 20.46, 28.24 and 11.72

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Solution

The fourth proportional to 20.46, 28.24 and 11.72 is: 16.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.46 : 28.24 = 11.72 : x
  2. Step 2: Convert to fraction form
    20.46/28.24 = 11.72/x
  3. Step 3: Cross multiply
    20.46x = 28.24 × 11.72
  4. Step 4: Simplify right side
    20.46x = 330.89
  5. Step 5: Solve for x
    x = 330.89/20.46
  6. Step 6: Final answer
    x = 16.17

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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.