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Finding the Fourth Proportional to 23.23, 31.92 and 19.13

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Solution

The fourth proportional to 23.23, 31.92 and 19.13 is: 26.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.23 : 31.92 = 19.13 : x
  2. Step 2: Convert to fraction form
    23.23/31.92 = 19.13/x
  3. Step 3: Cross multiply
    23.23x = 31.92 × 19.13
  4. Step 4: Simplify right side
    23.23x = 610.63
  5. Step 5: Solve for x
    x = 610.63/23.23
  6. Step 6: Final answer
    x = 26.29

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.