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Finding the Fourth Proportional to 44.22, 66.36 and 24.97

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Solution

The fourth proportional to 44.22, 66.36 and 24.97 is: 37.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    44.22 : 66.36 = 24.97 : x
  2. Step 2: Convert to fraction form
    44.22/66.36 = 24.97/x
  3. Step 3: Cross multiply
    44.22x = 66.36 × 24.97
  4. Step 4: Simplify right side
    44.22x = 1,656.88
  5. Step 5: Solve for x
    x = 1,656.88/44.22
  6. Step 6: Final answer
    x = 37.47

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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.