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Finding the Fourth Proportional to 159.82, 239.65 and 108.54

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Solution

The fourth proportional to 159.82, 239.65 and 108.54 is: 162.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.82 : 239.65 = 108.54 : x
  2. Step 2: Convert to fraction form
    159.82/239.65 = 108.54/x
  3. Step 3: Cross multiply
    159.82x = 239.65 × 108.54
  4. Step 4: Simplify right side
    159.82x = 26,010.41
  5. Step 5: Solve for x
    x = 26,010.41/159.82
  6. Step 6: Final answer
    x = 162.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.