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Finding the Fourth Proportional to 16.76, 23.12 and 11.31

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Solution

The fourth proportional to 16.76, 23.12 and 11.31 is: 15.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.76 : 23.12 = 11.31 : x
  2. Step 2: Convert to fraction form
    16.76/23.12 = 11.31/x
  3. Step 3: Cross multiply
    16.76x = 23.12 × 11.31
  4. Step 4: Simplify right side
    16.76x = 261.49
  5. Step 5: Solve for x
    x = 261.49/16.76
  6. Step 6: Final answer
    x = 15.60

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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.