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Finding the Fourth Proportional to 184.34, 276.55 and 54.33

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Solution

The fourth proportional to 184.34, 276.55 and 54.33 is: 81.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.34 : 276.55 = 54.33 : x
  2. Step 2: Convert to fraction form
    184.34/276.55 = 54.33/x
  3. Step 3: Cross multiply
    184.34x = 276.55 × 54.33
  4. Step 4: Simplify right side
    184.34x = 15,024.96
  5. Step 5: Solve for x
    x = 15,024.96/184.34
  6. Step 6: Final answer
    x = 81.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.