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Finding the Fourth Proportional to 65.75, 98.48 and 54.44

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Solution

The fourth proportional to 65.75, 98.48 and 54.44 is: 81.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.75 : 98.48 = 54.44 : x
  2. Step 2: Convert to fraction form
    65.75/98.48 = 54.44/x
  3. Step 3: Cross multiply
    65.75x = 98.48 × 54.44
  4. Step 4: Simplify right side
    65.75x = 5,361.26
  5. Step 5: Solve for x
    x = 5,361.26/65.75
  6. Step 6: Final answer
    x = 81.55

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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.