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Finding the Fourth Proportional to 172.05, 258.02 and 120.81

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Solution

The fourth proportional to 172.05, 258.02 and 120.81 is: 181.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.05 : 258.02 = 120.81 : x
  2. Step 2: Convert to fraction form
    172.05/258.02 = 120.81/x
  3. Step 3: Cross multiply
    172.05x = 258.02 × 120.81
  4. Step 4: Simplify right side
    172.05x = 31,170.79
  5. Step 5: Solve for x
    x = 31,170.79/172.05
  6. Step 6: Final answer
    x = 181.17

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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.