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Finding the Fourth Proportional to 180.72, 271.40 and 109

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Solution

The fourth proportional to 180.72, 271.40 and 109 is: 163.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.72 : 271.40 = 109 : x
  2. Step 2: Convert to fraction form
    180.72/271.40 = 109/x
  3. Step 3: Cross multiply
    180.72x = 271.40 × 109
  4. Step 4: Simplify right side
    180.72x = 29,582.60
  5. Step 5: Solve for x
    x = 29,582.60/180.72
  6. Step 6: Final answer
    x = 163.69

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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.