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Finding the Fourth Proportional to 41.58, 57.42 and 31.82

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Solution

The fourth proportional to 41.58, 57.42 and 31.82 is: 43.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.58 : 57.42 = 31.82 : x
  2. Step 2: Convert to fraction form
    41.58/57.42 = 31.82/x
  3. Step 3: Cross multiply
    41.58x = 57.42 × 31.82
  4. Step 4: Simplify right side
    41.58x = 1,826.82
  5. Step 5: Solve for x
    x = 1,826.82/41.58
  6. Step 6: Final answer
    x = 43.94

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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.