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Finding the Fourth Proportional to 123.18, 184.82 and 69.09

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Solution

The fourth proportional to 123.18, 184.82 and 69.09 is: 103.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.18 : 184.82 = 69.09 : x
  2. Step 2: Convert to fraction form
    123.18/184.82 = 69.09/x
  3. Step 3: Cross multiply
    123.18x = 184.82 × 69.09
  4. Step 4: Simplify right side
    123.18x = 12,768.87
  5. Step 5: Solve for x
    x = 12,768.87/123.18
  6. Step 6: Final answer
    x = 103.66

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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.