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Finding the Fourth Proportional to 21.23, 31.86 and 16.42

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Solution

The fourth proportional to 21.23, 31.86 and 16.42 is: 24.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.23 : 31.86 = 16.42 : x
  2. Step 2: Convert to fraction form
    21.23/31.86 = 16.42/x
  3. Step 3: Cross multiply
    21.23x = 31.86 × 16.42
  4. Step 4: Simplify right side
    21.23x = 523.14
  5. Step 5: Solve for x
    x = 523.14/21.23
  6. Step 6: Final answer
    x = 24.64

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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.