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Finding the Fourth Proportional to 16.76, 23.14 and 11.94

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Solution

The fourth proportional to 16.76, 23.14 and 11.94 is: 16.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.76 : 23.14 = 11.94 : x
  2. Step 2: Convert to fraction form
    16.76/23.14 = 11.94/x
  3. Step 3: Cross multiply
    16.76x = 23.14 × 11.94
  4. Step 4: Simplify right side
    16.76x = 276.29
  5. Step 5: Solve for x
    x = 276.29/16.76
  6. Step 6: Final answer
    x = 16.49

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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.