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Finding the Fourth Proportional to 36.78, 55.22 and 35.96

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Solution

The fourth proportional to 36.78, 55.22 and 35.96 is: 53.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.78 : 55.22 = 35.96 : x
  2. Step 2: Convert to fraction form
    36.78/55.22 = 35.96/x
  3. Step 3: Cross multiply
    36.78x = 55.22 × 35.96
  4. Step 4: Simplify right side
    36.78x = 1,985.26
  5. Step 5: Solve for x
    x = 1,985.26/36.78
  6. Step 6: Final answer
    x = 53.98

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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.