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Finding the Fourth Proportional to 123.52, 184.72 and 108.80

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Solution

The fourth proportional to 123.52, 184.72 and 108.80 is: 162.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.52 : 184.72 = 108.80 : x
  2. Step 2: Convert to fraction form
    123.52/184.72 = 108.80/x
  3. Step 3: Cross multiply
    123.52x = 184.72 × 108.80
  4. Step 4: Simplify right side
    123.52x = 20,097.54
  5. Step 5: Solve for x
    x = 20,097.54/123.52
  6. Step 6: Final answer
    x = 162.71

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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.