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Finding the Fourth Proportional to 68.14, 94.03 and 54.34

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Solution

The fourth proportional to 68.14, 94.03 and 54.34 is: 74.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.14 : 94.03 = 54.34 : x
  2. Step 2: Convert to fraction form
    68.14/94.03 = 54.34/x
  3. Step 3: Cross multiply
    68.14x = 94.03 × 54.34
  4. Step 4: Simplify right side
    68.14x = 5,109.22
  5. Step 5: Solve for x
    x = 5,109.22/68.14
  6. Step 6: Final answer
    x = 74.98

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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.