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Finding the Fourth Proportional to 184.12, 276.06 and 75.88

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Solution

The fourth proportional to 184.12, 276.06 and 75.88 is: 113.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.12 : 276.06 = 75.88 : x
  2. Step 2: Convert to fraction form
    184.12/276.06 = 75.88/x
  3. Step 3: Cross multiply
    184.12x = 276.06 × 75.88
  4. Step 4: Simplify right side
    184.12x = 20,947.43
  5. Step 5: Solve for x
    x = 20,947.43/184.12
  6. Step 6: Final answer
    x = 113.77

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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.