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Finding the Fourth Proportional to 160.96, 222.10 and 105.72

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Solution

The fourth proportional to 160.96, 222.10 and 105.72 is: 145.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.96 : 222.10 = 105.72 : x
  2. Step 2: Convert to fraction form
    160.96/222.10 = 105.72/x
  3. Step 3: Cross multiply
    160.96x = 222.10 × 105.72
  4. Step 4: Simplify right side
    160.96x = 23,480.41
  5. Step 5: Solve for x
    x = 23,480.41/160.96
  6. Step 6: Final answer
    x = 145.88

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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.