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Finding the Fourth Proportional to 41.96, 57.85 and 30.32

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Solution

The fourth proportional to 41.96, 57.85 and 30.32 is: 41.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.96 : 57.85 = 30.32 : x
  2. Step 2: Convert to fraction form
    41.96/57.85 = 30.32/x
  3. Step 3: Cross multiply
    41.96x = 57.85 × 30.32
  4. Step 4: Simplify right side
    41.96x = 1,754.01
  5. Step 5: Solve for x
    x = 1,754.01/41.96
  6. Step 6: Final answer
    x = 41.80

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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.