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Finding the Fourth Proportional to 20.46, 30.72 and 14.46

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Solution

The fourth proportional to 20.46, 30.72 and 14.46 is: 21.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.46 : 30.72 = 14.46 : x
  2. Step 2: Convert to fraction form
    20.46/30.72 = 14.46/x
  3. Step 3: Cross multiply
    20.46x = 30.72 × 14.46
  4. Step 4: Simplify right side
    20.46x = 444.21
  5. Step 5: Solve for x
    x = 444.21/20.46
  6. Step 6: Final answer
    x = 21.71

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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.