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Finding the Fourth Proportional to 41.94, 57.83 and 29.63

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Solution

The fourth proportional to 41.94, 57.83 and 29.63 is: 40.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.94 : 57.83 = 29.63 : x
  2. Step 2: Convert to fraction form
    41.94/57.83 = 29.63/x
  3. Step 3: Cross multiply
    41.94x = 57.83 × 29.63
  4. Step 4: Simplify right side
    41.94x = 1,713.07
  5. Step 5: Solve for x
    x = 1,713.07/41.94
  6. Step 6: Final answer
    x = 40.85

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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.