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Finding the Fourth Proportional to 24.15, 33.12 and 23.39

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Solution

The fourth proportional to 24.15, 33.12 and 23.39 is: 32.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.15 : 33.12 = 23.39 : x
  2. Step 2: Convert to fraction form
    24.15/33.12 = 23.39/x
  3. Step 3: Cross multiply
    24.15x = 33.12 × 23.39
  4. Step 4: Simplify right side
    24.15x = 774.68
  5. Step 5: Solve for x
    x = 774.68/24.15
  6. Step 6: Final answer
    x = 32.08

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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.