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Finding the Fourth Proportional to 160.99, 222.08 and 108.54

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Solution

The fourth proportional to 160.99, 222.08 and 108.54 is: 149.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.99 : 222.08 = 108.54 : x
  2. Step 2: Convert to fraction form
    160.99/222.08 = 108.54/x
  3. Step 3: Cross multiply
    160.99x = 222.08 × 108.54
  4. Step 4: Simplify right side
    160.99x = 24,104.56
  5. Step 5: Solve for x
    x = 24,104.56/160.99
  6. Step 6: Final answer
    x = 149.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.