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Finding the Fourth Proportional to 41.05, 56.69 and 28.15

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Solution

The fourth proportional to 41.05, 56.69 and 28.15 is: 38.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.05 : 56.69 = 28.15 : x
  2. Step 2: Convert to fraction form
    41.05/56.69 = 28.15/x
  3. Step 3: Cross multiply
    41.05x = 56.69 × 28.15
  4. Step 4: Simplify right side
    41.05x = 1,595.82
  5. Step 5: Solve for x
    x = 1,595.82/41.05
  6. Step 6: Final answer
    x = 38.88

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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.