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Finding the Fourth Proportional to 34.43, 47.28 and 28.96

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Solution

The fourth proportional to 34.43, 47.28 and 28.96 is: 39.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.43 : 47.28 = 28.96 : x
  2. Step 2: Convert to fraction form
    34.43/47.28 = 28.96/x
  3. Step 3: Cross multiply
    34.43x = 47.28 × 28.96
  4. Step 4: Simplify right side
    34.43x = 1,369.22
  5. Step 5: Solve for x
    x = 1,369.22/34.43
  6. Step 6: Final answer
    x = 39.77

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.