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Finding the Fourth Proportional to 122.88, 184.44 and 120.36

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Solution

The fourth proportional to 122.88, 184.44 and 120.36 is: 180.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.88 : 184.44 = 120.36 : x
  2. Step 2: Convert to fraction form
    122.88/184.44 = 120.36/x
  3. Step 3: Cross multiply
    122.88x = 184.44 × 120.36
  4. Step 4: Simplify right side
    122.88x = 22,199.20
  5. Step 5: Solve for x
    x = 22,199.20/122.88
  6. Step 6: Final answer
    x = 180.66

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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.