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Finding the Fourth Proportional to 159.84, 239.49 and 102.20

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Solution

The fourth proportional to 159.84, 239.49 and 102.20 is: 153.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.84 : 239.49 = 102.20 : x
  2. Step 2: Convert to fraction form
    159.84/239.49 = 102.20/x
  3. Step 3: Cross multiply
    159.84x = 239.49 × 102.20
  4. Step 4: Simplify right side
    159.84x = 24,474.68
  5. Step 5: Solve for x
    x = 24,474.68/159.84
  6. Step 6: Final answer
    x = 153.12

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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.