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Finding the Fourth Proportional to 184.09, 276.09 and 54.09

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Solution

The fourth proportional to 184.09, 276.09 and 54.09 is: 81.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.09 : 276.09 = 54.09 : x
  2. Step 2: Convert to fraction form
    184.09/276.09 = 54.09/x
  3. Step 3: Cross multiply
    184.09x = 276.09 × 54.09
  4. Step 4: Simplify right side
    184.09x = 14,933.71
  5. Step 5: Solve for x
    x = 14,933.71/184.09
  6. Step 6: Final answer
    x = 81.12

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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.