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Finding the Fourth Proportional to 41.28, 57 and 35.82

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Solution

The fourth proportional to 41.28, 57 and 35.82 is: 49.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.28 : 57 = 35.82 : x
  2. Step 2: Convert to fraction form
    41.28/57 = 35.82/x
  3. Step 3: Cross multiply
    41.28x = 57 × 35.82
  4. Step 4: Simplify right side
    41.28x = 2,041.74
  5. Step 5: Solve for x
    x = 2,041.74/41.28
  6. Step 6: Final answer
    x = 49.46

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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.