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Finding the Fourth Proportional to 68.41, 94.43 and 40.77

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Solution

The fourth proportional to 68.41, 94.43 and 40.77 is: 56.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.41 : 94.43 = 40.77 : x
  2. Step 2: Convert to fraction form
    68.41/94.43 = 40.77/x
  3. Step 3: Cross multiply
    68.41x = 94.43 × 40.77
  4. Step 4: Simplify right side
    68.41x = 3,850.01
  5. Step 5: Solve for x
    x = 3,850.01/68.41
  6. Step 6: Final answer
    x = 56.28

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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.