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Finding the Fourth Proportional to 66.97, 100.46 and 24.22

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Solution

The fourth proportional to 66.97, 100.46 and 24.22 is: 36.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.97 : 100.46 = 24.22 : x
  2. Step 2: Convert to fraction form
    66.97/100.46 = 24.22/x
  3. Step 3: Cross multiply
    66.97x = 100.46 × 24.22
  4. Step 4: Simplify right side
    66.97x = 2,433.14
  5. Step 5: Solve for x
    x = 2,433.14/66.97
  6. Step 6: Final answer
    x = 36.33

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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.