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Finding the Fourth Proportional to 20.49, 30.71 and 15.38

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Solution

The fourth proportional to 20.49, 30.71 and 15.38 is: 23.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.49 : 30.71 = 15.38 : x
  2. Step 2: Convert to fraction form
    20.49/30.71 = 15.38/x
  3. Step 3: Cross multiply
    20.49x = 30.71 × 15.38
  4. Step 4: Simplify right side
    20.49x = 472.09
  5. Step 5: Solve for x
    x = 472.09/20.49
  6. Step 6: Final answer
    x = 23.04

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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.