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Finding the Fourth Proportional to 184.03, 276.01 and 68.45

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Solution

The fourth proportional to 184.03, 276.01 and 68.45 is: 102.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.03 : 276.01 = 68.45 : x
  2. Step 2: Convert to fraction form
    184.03/276.01 = 68.45/x
  3. Step 3: Cross multiply
    184.03x = 276.01 × 68.45
  4. Step 4: Simplify right side
    184.03x = 18,891.50
  5. Step 5: Solve for x
    x = 18,891.50/184.03
  6. Step 6: Final answer
    x = 102.66

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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.