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Finding the Fourth Proportional to 169.78, 234.48 and 120.10

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Solution

The fourth proportional to 169.78, 234.48 and 120.10 is: 165.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.78 : 234.48 = 120.10 : x
  2. Step 2: Convert to fraction form
    169.78/234.48 = 120.10/x
  3. Step 3: Cross multiply
    169.78x = 234.48 × 120.10
  4. Step 4: Simplify right side
    169.78x = 28,161.05
  5. Step 5: Solve for x
    x = 28,161.05/169.78
  6. Step 6: Final answer
    x = 165.87

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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.