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Finding the Fourth Proportional to 23.09, 34.61 and 9.56

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Solution

The fourth proportional to 23.09, 34.61 and 9.56 is: 14.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.09 : 34.61 = 9.56 : x
  2. Step 2: Convert to fraction form
    23.09/34.61 = 9.56/x
  3. Step 3: Cross multiply
    23.09x = 34.61 × 9.56
  4. Step 4: Simplify right side
    23.09x = 330.91
  5. Step 5: Solve for x
    x = 330.91/23.09
  6. Step 6: Final answer
    x = 14.33

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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.