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Finding the Fourth Proportional to 41.33, 57 and 30.42

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Solution

The fourth proportional to 41.33, 57 and 30.42 is: 41.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.33 : 57 = 30.42 : x
  2. Step 2: Convert to fraction form
    41.33/57 = 30.42/x
  3. Step 3: Cross multiply
    41.33x = 57 × 30.42
  4. Step 4: Simplify right side
    41.33x = 1,733.94
  5. Step 5: Solve for x
    x = 1,733.94/41.33
  6. Step 6: Final answer
    x = 41.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.