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Finding the Fourth Proportional to 23.50, 35.09 and 20.27

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Solution

The fourth proportional to 23.50, 35.09 and 20.27 is: 30.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.50 : 35.09 = 20.27 : x
  2. Step 2: Convert to fraction form
    23.50/35.09 = 20.27/x
  3. Step 3: Cross multiply
    23.50x = 35.09 × 20.27
  4. Step 4: Simplify right side
    23.50x = 711.27
  5. Step 5: Solve for x
    x = 711.27/23.50
  6. Step 6: Final answer
    x = 30.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.