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Finding the Fourth Proportional to 23.04, 34.56 and 7.82

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Solution

The fourth proportional to 23.04, 34.56 and 7.82 is: 11.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.04 : 34.56 = 7.82 : x
  2. Step 2: Convert to fraction form
    23.04/34.56 = 7.82/x
  3. Step 3: Cross multiply
    23.04x = 34.56 × 7.82
  4. Step 4: Simplify right side
    23.04x = 270.37
  5. Step 5: Solve for x
    x = 270.37/23.04
  6. Step 6: Final answer
    x = 11.73

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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.