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Finding the Fourth Proportional to 23.05, 31.82 and 13.84

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Solution

The fourth proportional to 23.05, 31.82 and 13.84 is: 19.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.05 : 31.82 = 13.84 : x
  2. Step 2: Convert to fraction form
    23.05/31.82 = 13.84/x
  3. Step 3: Cross multiply
    23.05x = 31.82 × 13.84
  4. Step 4: Simplify right side
    23.05x = 440.35
  5. Step 5: Solve for x
    x = 440.35/23.05
  6. Step 6: Final answer
    x = 19.11

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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.