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Finding the Fourth Proportional to 172.10, 237.51 and 102.20

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Solution

The fourth proportional to 172.10, 237.51 and 102.20 is: 141.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.10 : 237.51 = 102.20 : x
  2. Step 2: Convert to fraction form
    172.10/237.51 = 102.20/x
  3. Step 3: Cross multiply
    172.10x = 237.51 × 102.20
  4. Step 4: Simplify right side
    172.10x = 24,272.33
  5. Step 5: Solve for x
    x = 24,272.33/172.10
  6. Step 6: Final answer
    x = 141.04

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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.