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Finding the Fourth Proportional to 172.08, 257.94 and 74.55

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Solution

The fourth proportional to 172.08, 257.94 and 74.55 is: 111.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.08 : 257.94 = 74.55 : x
  2. Step 2: Convert to fraction form
    172.08/257.94 = 74.55/x
  3. Step 3: Cross multiply
    172.08x = 257.94 × 74.55
  4. Step 4: Simplify right side
    172.08x = 19,229.43
  5. Step 5: Solve for x
    x = 19,229.43/172.08
  6. Step 6: Final answer
    x = 111.75

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