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Finding the Fourth Proportional to 65.52, 98.28 and 63.78

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Solution

The fourth proportional to 65.52, 98.28 and 63.78 is: 95.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.52 : 98.28 = 63.78 : x
  2. Step 2: Convert to fraction form
    65.52/98.28 = 63.78/x
  3. Step 3: Cross multiply
    65.52x = 98.28 × 63.78
  4. Step 4: Simplify right side
    65.52x = 6,268.30
  5. Step 5: Solve for x
    x = 6,268.30/65.52
  6. Step 6: Final answer
    x = 95.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.