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Finding the Fourth Proportional to 34.03, 46.96 and 24.33

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Solution

The fourth proportional to 34.03, 46.96 and 24.33 is: 33.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.03 : 46.96 = 24.33 : x
  2. Step 2: Convert to fraction form
    34.03/46.96 = 24.33/x
  3. Step 3: Cross multiply
    34.03x = 46.96 × 24.33
  4. Step 4: Simplify right side
    34.03x = 1,142.54
  5. Step 5: Solve for x
    x = 1,142.54/34.03
  6. Step 6: Final answer
    x = 33.57

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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.