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Finding the Fourth Proportional to 172.05, 237.39 and 102.07

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Solution

The fourth proportional to 172.05, 237.39 and 102.07 is: 140.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.05 : 237.39 = 102.07 : x
  2. Step 2: Convert to fraction form
    172.05/237.39 = 102.07/x
  3. Step 3: Cross multiply
    172.05x = 237.39 × 102.07
  4. Step 4: Simplify right side
    172.05x = 24,230.50
  5. Step 5: Solve for x
    x = 24,230.50/172.05
  6. Step 6: Final answer
    x = 140.84

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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.