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Finding the Fourth Proportional to 24.56, 34.05 and 23.18

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Solution

The fourth proportional to 24.56, 34.05 and 23.18 is: 32.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.56 : 34.05 = 23.18 : x
  2. Step 2: Convert to fraction form
    24.56/34.05 = 23.18/x
  3. Step 3: Cross multiply
    24.56x = 34.05 × 23.18
  4. Step 4: Simplify right side
    24.56x = 789.11
  5. Step 5: Solve for x
    x = 789.11/24.56
  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.