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Finding the Fourth Proportional to 23.82, 32.87 and 15.20

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Solution

The fourth proportional to 23.82, 32.87 and 15.20 is: 20.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.82 : 32.87 = 15.20 : x
  2. Step 2: Convert to fraction form
    23.82/32.87 = 15.20/x
  3. Step 3: Cross multiply
    23.82x = 32.87 × 15.20
  4. Step 4: Simplify right side
    23.82x = 499.38
  5. Step 5: Solve for x
    x = 499.38/23.82
  6. Step 6: Final answer
    x = 20.96

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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.