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Finding the Fourth Proportional to 36.68, 55.08 and 29.12

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Solution

The fourth proportional to 36.68, 55.08 and 29.12 is: 43.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.68 : 55.08 = 29.12 : x
  2. Step 2: Convert to fraction form
    36.68/55.08 = 29.12/x
  3. Step 3: Cross multiply
    36.68x = 55.08 × 29.12
  4. Step 4: Simplify right side
    36.68x = 1,603.93
  5. Step 5: Solve for x
    x = 1,603.93/36.68
  6. Step 6: Final answer
    x = 43.73

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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.