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Finding the Fourth Proportional to 24.57, 34.05 and 23.19

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Solution

The fourth proportional to 24.57, 34.05 and 23.19 is: 32.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.57 : 34.05 = 23.19 : x
  2. Step 2: Convert to fraction form
    24.57/34.05 = 23.19/x
  3. Step 3: Cross multiply
    24.57x = 34.05 × 23.19
  4. Step 4: Simplify right side
    24.57x = 789.62
  5. Step 5: Solve for x
    x = 789.62/24.57
  6. Step 6: Final answer
    x = 32.14

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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.