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Finding the Fourth Proportional to 66.02, 98.84 and 53.96

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Solution

The fourth proportional to 66.02, 98.84 and 53.96 is: 80.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.02 : 98.84 = 53.96 : x
  2. Step 2: Convert to fraction form
    66.02/98.84 = 53.96/x
  3. Step 3: Cross multiply
    66.02x = 98.84 × 53.96
  4. Step 4: Simplify right side
    66.02x = 5,333.41
  5. Step 5: Solve for x
    x = 5,333.41/66.02
  6. Step 6: Final answer
    x = 80.78

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Why These Related Problems?

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