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Finding the Fourth Proportional to 169.29, 233.66 and 107.07

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Solution

The fourth proportional to 169.29, 233.66 and 107.07 is: 147.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.29 : 233.66 = 107.07 : x
  2. Step 2: Convert to fraction form
    169.29/233.66 = 107.07/x
  3. Step 3: Cross multiply
    169.29x = 233.66 × 107.07
  4. Step 4: Simplify right side
    169.29x = 25,017.44
  5. Step 5: Solve for x
    x = 25,017.44/169.29
  6. Step 6: Final answer
    x = 147.78

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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.