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Finding the Fourth Proportional to 20.46, 28.22 and 15.02

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Solution

The fourth proportional to 20.46, 28.22 and 15.02 is: 20.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.46 : 28.22 = 15.02 : x
  2. Step 2: Convert to fraction form
    20.46/28.22 = 15.02/x
  3. Step 3: Cross multiply
    20.46x = 28.22 × 15.02
  4. Step 4: Simplify right side
    20.46x = 423.86
  5. Step 5: Solve for x
    x = 423.86/20.46
  6. Step 6: Final answer
    x = 20.72

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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.