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Finding the Fourth Proportional to 36.22, 54.21 and 31.47

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Solution

The fourth proportional to 36.22, 54.21 and 31.47 is: 47.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.22 : 54.21 = 31.47 : x
  2. Step 2: Convert to fraction form
    36.22/54.21 = 31.47/x
  3. Step 3: Cross multiply
    36.22x = 54.21 × 31.47
  4. Step 4: Simplify right side
    36.22x = 1,705.60
  5. Step 5: Solve for x
    x = 1,705.60/36.22
  6. Step 6: Final answer
    x = 47.09

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