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Finding the Fourth Proportional to 98.63, 136.05 and 80.21

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Solution

The fourth proportional to 98.63, 136.05 and 80.21 is: 110.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.63 : 136.05 = 80.21 : x
  2. Step 2: Convert to fraction form
    98.63/136.05 = 80.21/x
  3. Step 3: Cross multiply
    98.63x = 136.05 × 80.21
  4. Step 4: Simplify right side
    98.63x = 10,912.57
  5. Step 5: Solve for x
    x = 10,912.57/98.63
  6. Step 6: Final answer
    x = 110.64

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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.