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Finding the Fourth Proportional to 172.12, 237.74 and 110

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Solution

The fourth proportional to 172.12, 237.74 and 110 is: 151.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.12 : 237.74 = 110 : x
  2. Step 2: Convert to fraction form
    172.12/237.74 = 110/x
  3. Step 3: Cross multiply
    172.12x = 237.74 × 110
  4. Step 4: Simplify right side
    172.12x = 26,151.40
  5. Step 5: Solve for x
    x = 26,151.40/172.12
  6. Step 6: Final answer
    x = 151.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.