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Finding the Fourth Proportional to 41.16, 56.78 and 33.94

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Solution

The fourth proportional to 41.16, 56.78 and 33.94 is: 46.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.16 : 56.78 = 33.94 : x
  2. Step 2: Convert to fraction form
    41.16/56.78 = 33.94/x
  3. Step 3: Cross multiply
    41.16x = 56.78 × 33.94
  4. Step 4: Simplify right side
    41.16x = 1,927.11
  5. Step 5: Solve for x
    x = 1,927.11/41.16
  6. Step 6: Final answer
    x = 46.82

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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.