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Finding the Fourth Proportional to 68.25, 94.02 and 65.01

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Solution

The fourth proportional to 68.25, 94.02 and 65.01 is: 89.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.25 : 94.02 = 65.01 : x
  2. Step 2: Convert to fraction form
    68.25/94.02 = 65.01/x
  3. Step 3: Cross multiply
    68.25x = 94.02 × 65.01
  4. Step 4: Simplify right side
    68.25x = 6,112.24
  5. Step 5: Solve for x
    x = 6,112.24/68.25
  6. Step 6: Final answer
    x = 89.56

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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.