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Finding the Fourth Proportional to 123.55, 185.09 and 72.09

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Solution

The fourth proportional to 123.55, 185.09 and 72.09 is: 107.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.55 : 185.09 = 72.09 : x
  2. Step 2: Convert to fraction form
    123.55/185.09 = 72.09/x
  3. Step 3: Cross multiply
    123.55x = 185.09 × 72.09
  4. Step 4: Simplify right side
    123.55x = 13,342.78
  5. Step 5: Solve for x
    x = 13,342.78/123.55
  6. Step 6: Final answer
    x = 107.99

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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.