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Finding the Fourth Proportional to 30.43, 41.96 and 28.92

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Solution

The fourth proportional to 30.43, 41.96 and 28.92 is: 39.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.43 : 41.96 = 28.92 : x
  2. Step 2: Convert to fraction form
    30.43/41.96 = 28.92/x
  3. Step 3: Cross multiply
    30.43x = 41.96 × 28.92
  4. Step 4: Simplify right side
    30.43x = 1,213.71
  5. Step 5: Solve for x
    x = 1,213.71/30.43
  6. Step 6: Final answer
    x = 39.88

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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.