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Finding the Fourth Proportional to 23.11, 31.89 and 13.41

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Solution

The fourth proportional to 23.11, 31.89 and 13.41 is: 18.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.11 : 31.89 = 13.41 : x
  2. Step 2: Convert to fraction form
    23.11/31.89 = 13.41/x
  3. Step 3: Cross multiply
    23.11x = 31.89 × 13.41
  4. Step 4: Simplify right side
    23.11x = 427.64
  5. Step 5: Solve for x
    x = 427.64/23.11
  6. Step 6: Final answer
    x = 18.51

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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.