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Finding the Fourth Proportional to 34.14, 47.09 and 23.78

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Solution

The fourth proportional to 34.14, 47.09 and 23.78 is: 32.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.14 : 47.09 = 23.78 : x
  2. Step 2: Convert to fraction form
    34.14/47.09 = 23.78/x
  3. Step 3: Cross multiply
    34.14x = 47.09 × 23.78
  4. Step 4: Simplify right side
    34.14x = 1,119.68
  5. Step 5: Solve for x
    x = 1,119.68/34.14
  6. Step 6: Final answer
    x = 32.80

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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.