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Finding the Fourth Proportional to 41.76, 57.52 and 34.46

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Solution

The fourth proportional to 41.76, 57.52 and 34.46 is: 47.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.76 : 57.52 = 34.46 : x
  2. Step 2: Convert to fraction form
    41.76/57.52 = 34.46/x
  3. Step 3: Cross multiply
    41.76x = 57.52 × 34.46
  4. Step 4: Simplify right side
    41.76x = 1,982.14
  5. Step 5: Solve for x
    x = 1,982.14/41.76
  6. Step 6: Final answer
    x = 47.47

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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.