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Finding the Fourth Proportional to 23.80, 33.06 and 23.12

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Solution

The fourth proportional to 23.80, 33.06 and 23.12 is: 32.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.80 : 33.06 = 23.12 : x
  2. Step 2: Convert to fraction form
    23.80/33.06 = 23.12/x
  3. Step 3: Cross multiply
    23.80x = 33.06 × 23.12
  4. Step 4: Simplify right side
    23.80x = 764.35
  5. Step 5: Solve for x
    x = 764.35/23.80
  6. Step 6: Final answer
    x = 32.12

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.