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Finding the Fourth Proportional to 172.22, 237.60 and 109.96

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Solution

The fourth proportional to 172.22, 237.60 and 109.96 is: 151.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.22 : 237.60 = 109.96 : x
  2. Step 2: Convert to fraction form
    172.22/237.60 = 109.96/x
  3. Step 3: Cross multiply
    172.22x = 237.60 × 109.96
  4. Step 4: Simplify right side
    172.22x = 26,125.90
  5. Step 5: Solve for x
    x = 26,125.90/172.22
  6. Step 6: Final answer
    x = 151.71

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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.