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Finding the Fourth Proportional to 169.44, 233.71 and 107.27

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Solution

The fourth proportional to 169.44, 233.71 and 107.27 is: 147.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.44 : 233.71 = 107.27 : x
  2. Step 2: Convert to fraction form
    169.44/233.71 = 107.27/x
  3. Step 3: Cross multiply
    169.44x = 233.71 × 107.27
  4. Step 4: Simplify right side
    169.44x = 25,070.07
  5. Step 5: Solve for x
    x = 25,070.07/169.44
  6. Step 6: Final answer
    x = 147.96

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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.