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Finding the Fourth Proportional to 122.88, 184.40 and 84.26

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Solution

The fourth proportional to 122.88, 184.40 and 84.26 is: 126.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.88 : 184.40 = 84.26 : x
  2. Step 2: Convert to fraction form
    122.88/184.40 = 84.26/x
  3. Step 3: Cross multiply
    122.88x = 184.40 × 84.26
  4. Step 4: Simplify right side
    122.88x = 15,537.54
  5. Step 5: Solve for x
    x = 15,537.54/122.88
  6. Step 6: Final answer
    x = 126.44

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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.