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Finding the Fourth Proportional to 159.54, 239.54 and 82.56

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Solution

The fourth proportional to 159.54, 239.54 and 82.56 is: 123.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.54 : 239.54 = 82.56 : x
  2. Step 2: Convert to fraction form
    159.54/239.54 = 82.56/x
  3. Step 3: Cross multiply
    159.54x = 239.54 × 82.56
  4. Step 4: Simplify right side
    159.54x = 19,776.01
  5. Step 5: Solve for x
    x = 19,776.01/159.54
  6. Step 6: Final answer
    x = 123.96

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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.