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Finding the Fourth Proportional to 23.09, 34.67 and 14.13

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Solution

The fourth proportional to 23.09, 34.67 and 14.13 is: 21.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.09 : 34.67 = 14.13 : x
  2. Step 2: Convert to fraction form
    23.09/34.67 = 14.13/x
  3. Step 3: Cross multiply
    23.09x = 34.67 × 14.13
  4. Step 4: Simplify right side
    23.09x = 489.89
  5. Step 5: Solve for x
    x = 489.89/23.09
  6. Step 6: Final answer
    x = 21.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.