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Finding the Fourth Proportional to 159.61, 239.21 and 68.20

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Solution

The fourth proportional to 159.61, 239.21 and 68.20 is: 102.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.61 : 239.21 = 68.20 : x
  2. Step 2: Convert to fraction form
    159.61/239.21 = 68.20/x
  3. Step 3: Cross multiply
    159.61x = 239.21 × 68.20
  4. Step 4: Simplify right side
    159.61x = 16,313.61
  5. Step 5: Solve for x
    x = 16,313.61/159.61
  6. Step 6: Final answer
    x = 102.21

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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.