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Finding the Fourth Proportional to 122.65, 184.04 and 54.20

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Solution

The fourth proportional to 122.65, 184.04 and 54.20 is: 81.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.65 : 184.04 = 54.20 : x
  2. Step 2: Convert to fraction form
    122.65/184.04 = 54.20/x
  3. Step 3: Cross multiply
    122.65x = 184.04 × 54.20
  4. Step 4: Simplify right side
    122.65x = 9,975.36
  5. Step 5: Solve for x
    x = 9,975.36/122.65
  6. Step 6: Final answer
    x = 81.33

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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.