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Finding the Fourth Proportional to 24.14, 33.34 and 23.14

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Solution

The fourth proportional to 24.14, 33.34 and 23.14 is: 31.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.14 : 33.34 = 23.14 : x
  2. Step 2: Convert to fraction form
    24.14/33.34 = 23.14/x
  3. Step 3: Cross multiply
    24.14x = 33.34 × 23.14
  4. Step 4: Simplify right side
    24.14x = 771.49
  5. Step 5: Solve for x
    x = 771.49/24.14
  6. Step 6: Final answer
    x = 31.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.