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Finding the Fourth Proportional to 41.91, 57.77 and 31.56

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Solution

The fourth proportional to 41.91, 57.77 and 31.56 is: 43.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.91 : 57.77 = 31.56 : x
  2. Step 2: Convert to fraction form
    41.91/57.77 = 31.56/x
  3. Step 3: Cross multiply
    41.91x = 57.77 × 31.56
  4. Step 4: Simplify right side
    41.91x = 1,823.06
  5. Step 5: Solve for x
    x = 1,823.06/41.91
  6. Step 6: Final answer
    x = 43.50

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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.