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Finding the Fourth Proportional to 16.22, 24.31 and 11.72

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Solution

The fourth proportional to 16.22, 24.31 and 11.72 is: 17.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.22 : 24.31 = 11.72 : x
  2. Step 2: Convert to fraction form
    16.22/24.31 = 11.72/x
  3. Step 3: Cross multiply
    16.22x = 24.31 × 11.72
  4. Step 4: Simplify right side
    16.22x = 284.91
  5. Step 5: Solve for x
    x = 284.91/16.22
  6. Step 6: Final answer
    x = 17.57

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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.