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Finding the Fourth Proportional to 41.61, 57.31 and 32.43

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Solution

The fourth proportional to 41.61, 57.31 and 32.43 is: 44.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.61 : 57.31 = 32.43 : x
  2. Step 2: Convert to fraction form
    41.61/57.31 = 32.43/x
  3. Step 3: Cross multiply
    41.61x = 57.31 × 32.43
  4. Step 4: Simplify right side
    41.61x = 1,858.48
  5. Step 5: Solve for x
    x = 1,858.48/41.61
  6. Step 6: Final answer
    x = 44.66

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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.