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Finding the Fourth Proportional to 159.80, 239.56 and 91.23

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Solution

The fourth proportional to 159.80, 239.56 and 91.23 is: 136.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.80 : 239.56 = 91.23 : x
  2. Step 2: Convert to fraction form
    159.80/239.56 = 91.23/x
  3. Step 3: Cross multiply
    159.80x = 239.56 × 91.23
  4. Step 4: Simplify right side
    159.80x = 21,853.93
  5. Step 5: Solve for x
    x = 21,853.93/159.80
  6. Step 6: Final answer
    x = 136.76

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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.