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Finding the Fourth Proportional to 172.22, 237.62 and 102.23

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Solution

The fourth proportional to 172.22, 237.62 and 102.23 is: 141.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.22 : 237.62 = 102.23 : x
  2. Step 2: Convert to fraction form
    172.22/237.62 = 102.23/x
  3. Step 3: Cross multiply
    172.22x = 237.62 × 102.23
  4. Step 4: Simplify right side
    172.22x = 24,291.85
  5. Step 5: Solve for x
    x = 24,291.85/172.22
  6. Step 6: Final answer
    x = 141.06

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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.