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Finding the Fourth Proportional to 34.92, 48.24 and 28.05

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Solution

The fourth proportional to 34.92, 48.24 and 28.05 is: 38.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.92 : 48.24 = 28.05 : x
  2. Step 2: Convert to fraction form
    34.92/48.24 = 28.05/x
  3. Step 3: Cross multiply
    34.92x = 48.24 × 28.05
  4. Step 4: Simplify right side
    34.92x = 1,353.13
  5. Step 5: Solve for x
    x = 1,353.13/34.92
  6. Step 6: Final answer
    x = 38.75

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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.