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Finding the Fourth Proportional to 159.82, 239.87 and 102.14

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Solution

The fourth proportional to 159.82, 239.87 and 102.14 is: 153.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.82 : 239.87 = 102.14 : x
  2. Step 2: Convert to fraction form
    159.82/239.87 = 102.14/x
  3. Step 3: Cross multiply
    159.82x = 239.87 × 102.14
  4. Step 4: Simplify right side
    159.82x = 24,500.32
  5. Step 5: Solve for x
    x = 24,500.32/159.82
  6. Step 6: Final answer
    x = 153.30

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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.