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Finding the Fourth Proportional to 24.29, 33.44 and 23.75

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Solution

The fourth proportional to 24.29, 33.44 and 23.75 is: 32.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.29 : 33.44 = 23.75 : x
  2. Step 2: Convert to fraction form
    24.29/33.44 = 23.75/x
  3. Step 3: Cross multiply
    24.29x = 33.44 × 23.75
  4. Step 4: Simplify right side
    24.29x = 794.20
  5. Step 5: Solve for x
    x = 794.20/24.29
  6. Step 6: Final answer
    x = 32.70

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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.