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Finding the Fourth Proportional to 66.81, 100.20 and 54.84

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Solution

The fourth proportional to 66.81, 100.20 and 54.84 is: 82.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.81 : 100.20 = 54.84 : x
  2. Step 2: Convert to fraction form
    66.81/100.20 = 54.84/x
  3. Step 3: Cross multiply
    66.81x = 100.20 × 54.84
  4. Step 4: Simplify right side
    66.81x = 5,494.97
  5. Step 5: Solve for x
    x = 5,494.97/66.81
  6. Step 6: Final answer
    x = 82.25

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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.