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Finding the Fourth Proportional to 36.22, 49.96 and 27.50

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Solution

The fourth proportional to 36.22, 49.96 and 27.50 is: 37.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.22 : 49.96 = 27.50 : x
  2. Step 2: Convert to fraction form
    36.22/49.96 = 27.50/x
  3. Step 3: Cross multiply
    36.22x = 49.96 × 27.50
  4. Step 4: Simplify right side
    36.22x = 1,373.90
  5. Step 5: Solve for x
    x = 1,373.90/36.22
  6. Step 6: Final answer
    x = 37.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.