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Finding the Fourth Proportional to 16.86, 25.31 and 10.75

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Solution

The fourth proportional to 16.86, 25.31 and 10.75 is: 16.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.86 : 25.31 = 10.75 : x
  2. Step 2: Convert to fraction form
    16.86/25.31 = 10.75/x
  3. Step 3: Cross multiply
    16.86x = 25.31 × 10.75
  4. Step 4: Simplify right side
    16.86x = 272.08
  5. Step 5: Solve for x
    x = 272.08/16.86
  6. Step 6: Final answer
    x = 16.14

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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.