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Finding the Fourth Proportional to 183.44, 275.26 and 67.96

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Solution

The fourth proportional to 183.44, 275.26 and 67.96 is: 101.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.44 : 275.26 = 67.96 : x
  2. Step 2: Convert to fraction form
    183.44/275.26 = 67.96/x
  3. Step 3: Cross multiply
    183.44x = 275.26 × 67.96
  4. Step 4: Simplify right side
    183.44x = 18,706.50
  5. Step 5: Solve for x
    x = 18,706.50/183.44
  6. Step 6: Final answer
    x = 101.98

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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.