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Finding the Fourth Proportional to 65.94, 98.22 and 63.66

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Solution

The fourth proportional to 65.94, 98.22 and 63.66 is: 94.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.94 : 98.22 = 63.66 : x
  2. Step 2: Convert to fraction form
    65.94/98.22 = 63.66/x
  3. Step 3: Cross multiply
    65.94x = 98.22 × 63.66
  4. Step 4: Simplify right side
    65.94x = 6,252.69
  5. Step 5: Solve for x
    x = 6,252.69/65.94
  6. Step 6: Final answer
    x = 94.82

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.