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Finding the Fourth Proportional to 65.11, 96.97 and 63.98

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Solution

The fourth proportional to 65.11, 96.97 and 63.98 is: 95.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.11 : 96.97 = 63.98 : x
  2. Step 2: Convert to fraction form
    65.11/96.97 = 63.98/x
  3. Step 3: Cross multiply
    65.11x = 96.97 × 63.98
  4. Step 4: Simplify right side
    65.11x = 6,203.34
  5. Step 5: Solve for x
    x = 6,203.34/65.11
  6. Step 6: Final answer
    x = 95.27

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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.