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Finding the Fourth Proportional to 122.99, 184.56 and 54.52

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Solution

The fourth proportional to 122.99, 184.56 and 54.52 is: 81.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.99 : 184.56 = 54.52 : x
  2. Step 2: Convert to fraction form
    122.99/184.56 = 54.52/x
  3. Step 3: Cross multiply
    122.99x = 184.56 × 54.52
  4. Step 4: Simplify right side
    122.99x = 10,062.21
  5. Step 5: Solve for x
    x = 10,062.21/122.99
  6. Step 6: Final answer
    x = 81.81

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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.