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Finding the Fourth Proportional to 169.51, 233.77 and 107.23

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Solution

The fourth proportional to 169.51, 233.77 and 107.23 is: 147.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.51 : 233.77 = 107.23 : x
  2. Step 2: Convert to fraction form
    169.51/233.77 = 107.23/x
  3. Step 3: Cross multiply
    169.51x = 233.77 × 107.23
  4. Step 4: Simplify right side
    169.51x = 25,067.16
  5. Step 5: Solve for x
    x = 25,067.16/169.51
  6. Step 6: Final answer
    x = 147.88

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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.