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Finding the Fourth Proportional to 172.38, 258.30 and 100.08

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Solution

The fourth proportional to 172.38, 258.30 and 100.08 is: 149.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.38 : 258.30 = 100.08 : x
  2. Step 2: Convert to fraction form
    172.38/258.30 = 100.08/x
  3. Step 3: Cross multiply
    172.38x = 258.30 × 100.08
  4. Step 4: Simplify right side
    172.38x = 25,850.66
  5. Step 5: Solve for x
    x = 25,850.66/172.38
  6. Step 6: Final answer
    x = 149.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.