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Finding the Fourth Proportional to 66.18, 98.97 and 54.06

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Solution

The fourth proportional to 66.18, 98.97 and 54.06 is: 80.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.18 : 98.97 = 54.06 : x
  2. Step 2: Convert to fraction form
    66.18/98.97 = 54.06/x
  3. Step 3: Cross multiply
    66.18x = 98.97 × 54.06
  4. Step 4: Simplify right side
    66.18x = 5,350.32
  5. Step 5: Solve for x
    x = 5,350.32/66.18
  6. Step 6: Final answer
    x = 80.84

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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.