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Finding the Fourth Proportional to 159.44, 239.23 and 86.23

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Solution

The fourth proportional to 159.44, 239.23 and 86.23 is: 129.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.44 : 239.23 = 86.23 : x
  2. Step 2: Convert to fraction form
    159.44/239.23 = 86.23/x
  3. Step 3: Cross multiply
    159.44x = 239.23 × 86.23
  4. Step 4: Simplify right side
    159.44x = 20,628.37
  5. Step 5: Solve for x
    x = 20,628.37/159.44
  6. Step 6: Final answer
    x = 129.38

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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.