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Finding the Fourth Proportional to 24.12, 33.08 and 23.76

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Solution

The fourth proportional to 24.12, 33.08 and 23.76 is: 32.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.12 : 33.08 = 23.76 : x
  2. Step 2: Convert to fraction form
    24.12/33.08 = 23.76/x
  3. Step 3: Cross multiply
    24.12x = 33.08 × 23.76
  4. Step 4: Simplify right side
    24.12x = 785.98
  5. Step 5: Solve for x
    x = 785.98/24.12
  6. Step 6: Final answer
    x = 32.59

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.