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Finding the Fourth Proportional to 159.55, 239.22 and 77.24

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Solution

The fourth proportional to 159.55, 239.22 and 77.24 is: 115.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.55 : 239.22 = 77.24 : x
  2. Step 2: Convert to fraction form
    159.55/239.22 = 77.24/x
  3. Step 3: Cross multiply
    159.55x = 239.22 × 77.24
  4. Step 4: Simplify right side
    159.55x = 18,477.35
  5. Step 5: Solve for x
    x = 18,477.35/159.55
  6. Step 6: Final answer
    x = 115.81

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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.