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Finding the Fourth Proportional to 169.25, 233.56 and 107.06

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Solution

The fourth proportional to 169.25, 233.56 and 107.06 is: 147.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.25 : 233.56 = 107.06 : x
  2. Step 2: Convert to fraction form
    169.25/233.56 = 107.06/x
  3. Step 3: Cross multiply
    169.25x = 233.56 × 107.06
  4. Step 4: Simplify right side
    169.25x = 25,004.08
  5. Step 5: Solve for x
    x = 25,004.08/169.25
  6. Step 6: Final answer
    x = 147.74

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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.