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Finding the Fourth Proportional to 68.25, 93.87 and 65.22

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Solution

The fourth proportional to 68.25, 93.87 and 65.22 is: 89.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.25 : 93.87 = 65.22 : x
  2. Step 2: Convert to fraction form
    68.25/93.87 = 65.22/x
  3. Step 3: Cross multiply
    68.25x = 93.87 × 65.22
  4. Step 4: Simplify right side
    68.25x = 6,122.20
  5. Step 5: Solve for x
    x = 6,122.20/68.25
  6. Step 6: Final answer
    x = 89.70

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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.