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Finding the Fourth Proportional to 41.28, 56.84 and 35.43

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Solution

The fourth proportional to 41.28, 56.84 and 35.43 is: 48.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.28 : 56.84 = 35.43 : x
  2. Step 2: Convert to fraction form
    41.28/56.84 = 35.43/x
  3. Step 3: Cross multiply
    41.28x = 56.84 × 35.43
  4. Step 4: Simplify right side
    41.28x = 2,013.84
  5. Step 5: Solve for x
    x = 2,013.84/41.28
  6. Step 6: Final answer
    x = 48.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.