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Finding the Fourth Proportional to 169.08, 233.22 and 120.07

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Solution

The fourth proportional to 169.08, 233.22 and 120.07 is: 165.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.08 : 233.22 = 120.07 : x
  2. Step 2: Convert to fraction form
    169.08/233.22 = 120.07/x
  3. Step 3: Cross multiply
    169.08x = 233.22 × 120.07
  4. Step 4: Simplify right side
    169.08x = 28,002.73
  5. Step 5: Solve for x
    x = 28,002.73/169.08
  6. Step 6: Final answer
    x = 165.62

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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.