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Finding the Fourth Proportional to 172.96, 238.66 and 103

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Solution

The fourth proportional to 172.96, 238.66 and 103 is: 142.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.96 : 238.66 = 103 : x
  2. Step 2: Convert to fraction form
    172.96/238.66 = 103/x
  3. Step 3: Cross multiply
    172.96x = 238.66 × 103
  4. Step 4: Simplify right side
    172.96x = 24,581.98
  5. Step 5: Solve for x
    x = 24,581.98/172.96
  6. Step 6: Final answer
    x = 142.13

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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.