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Finding the Fourth Proportional to 169.23, 233.43 and 107.07

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Solution

The fourth proportional to 169.23, 233.43 and 107.07 is: 147.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.23 : 233.43 = 107.07 : x
  2. Step 2: Convert to fraction form
    169.23/233.43 = 107.07/x
  3. Step 3: Cross multiply
    169.23x = 233.43 × 107.07
  4. Step 4: Simplify right side
    169.23x = 24,993.99
  5. Step 5: Solve for x
    x = 24,993.99/169.23
  6. Step 6: Final answer
    x = 147.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.