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Finding the Fourth Proportional to 34.85, 48.12 and 23.97

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Solution

The fourth proportional to 34.85, 48.12 and 23.97 is: 33.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.85 : 48.12 = 23.97 : x
  2. Step 2: Convert to fraction form
    34.85/48.12 = 23.97/x
  3. Step 3: Cross multiply
    34.85x = 48.12 × 23.97
  4. Step 4: Simplify right side
    34.85x = 1,153.44
  5. Step 5: Solve for x
    x = 1,153.44/34.85
  6. Step 6: Final answer
    x = 33.10

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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.