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Finding the Fourth Proportional to 159.67, 239.49 and 68.35

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Solution

The fourth proportional to 159.67, 239.49 and 68.35 is: 102.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.67 : 239.49 = 68.35 : x
  2. Step 2: Convert to fraction form
    159.67/239.49 = 68.35/x
  3. Step 3: Cross multiply
    159.67x = 239.49 × 68.35
  4. Step 4: Simplify right side
    159.67x = 16,369.14
  5. Step 5: Solve for x
    x = 16,369.14/159.67
  6. Step 6: Final answer
    x = 102.52

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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.