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Finding the Fourth Proportional to 20.81, 31.24 and 16.30

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Solution

The fourth proportional to 20.81, 31.24 and 16.30 is: 24.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.81 : 31.24 = 16.30 : x
  2. Step 2: Convert to fraction form
    20.81/31.24 = 16.30/x
  3. Step 3: Cross multiply
    20.81x = 31.24 × 16.30
  4. Step 4: Simplify right side
    20.81x = 509.18
  5. Step 5: Solve for x
    x = 509.18/20.81
  6. Step 6: Final answer
    x = 24.47

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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.