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Finding the Fourth Proportional to 41.46, 57.26 and 33.77

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Solution

The fourth proportional to 41.46, 57.26 and 33.77 is: 46.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.46 : 57.26 = 33.77 : x
  2. Step 2: Convert to fraction form
    41.46/57.26 = 33.77/x
  3. Step 3: Cross multiply
    41.46x = 57.26 × 33.77
  4. Step 4: Simplify right side
    41.46x = 1,933.22
  5. Step 5: Solve for x
    x = 1,933.22/41.46
  6. Step 6: Final answer
    x = 46.63

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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.