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Finding the Fourth Proportional to 123.26, 184.75 and 79.95

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Solution

The fourth proportional to 123.26, 184.75 and 79.95 is: 119.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.26 : 184.75 = 79.95 : x
  2. Step 2: Convert to fraction form
    123.26/184.75 = 79.95/x
  3. Step 3: Cross multiply
    123.26x = 184.75 × 79.95
  4. Step 4: Simplify right side
    123.26x = 14,770.76
  5. Step 5: Solve for x
    x = 14,770.76/123.26
  6. Step 6: Final answer
    x = 119.83

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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.