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Finding the Fourth Proportional to 68.25, 94.12 and 55.94

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Solution

The fourth proportional to 68.25, 94.12 and 55.94 is: 77.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.25 : 94.12 = 55.94 : x
  2. Step 2: Convert to fraction form
    68.25/94.12 = 55.94/x
  3. Step 3: Cross multiply
    68.25x = 94.12 × 55.94
  4. Step 4: Simplify right side
    68.25x = 5,264.46
  5. Step 5: Solve for x
    x = 5,264.46/68.25
  6. Step 6: Final answer
    x = 77.13

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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.