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Finding the Fourth Proportional to 20.51, 30.71 and 13.29

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Solution

The fourth proportional to 20.51, 30.71 and 13.29 is: 19.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.51 : 30.71 = 13.29 : x
  2. Step 2: Convert to fraction form
    20.51/30.71 = 13.29/x
  3. Step 3: Cross multiply
    20.51x = 30.71 × 13.29
  4. Step 4: Simplify right side
    20.51x = 408.14
  5. Step 5: Solve for x
    x = 408.14/20.51
  6. Step 6: Final answer
    x = 19.90

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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.