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Finding the Fourth Proportional to 184.05, 276.14 and 75.81

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Solution

The fourth proportional to 184.05, 276.14 and 75.81 is: 113.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.05 : 276.14 = 75.81 : x
  2. Step 2: Convert to fraction form
    184.05/276.14 = 75.81/x
  3. Step 3: Cross multiply
    184.05x = 276.14 × 75.81
  4. Step 4: Simplify right side
    184.05x = 20,935.40
  5. Step 5: Solve for x
    x = 20,935.40/184.05
  6. Step 6: Final answer
    x = 113.75

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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.