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Finding the Fourth Proportional to 169.22, 232.92 and 120.01

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Solution

The fourth proportional to 169.22, 232.92 and 120.01 is: 165.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.22 : 232.92 = 120.01 : x
  2. Step 2: Convert to fraction form
    169.22/232.92 = 120.01/x
  3. Step 3: Cross multiply
    169.22x = 232.92 × 120.01
  4. Step 4: Simplify right side
    169.22x = 27,952.13
  5. Step 5: Solve for x
    x = 27,952.13/169.22
  6. Step 6: Final answer
    x = 165.18

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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.