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Finding the Fourth Proportional to 159.21, 238.86 and 113.42

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Solution

The fourth proportional to 159.21, 238.86 and 113.42 is: 170.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.21 : 238.86 = 113.42 : x
  2. Step 2: Convert to fraction form
    159.21/238.86 = 113.42/x
  3. Step 3: Cross multiply
    159.21x = 238.86 × 113.42
  4. Step 4: Simplify right side
    159.21x = 27,092.10
  5. Step 5: Solve for x
    x = 27,092.10/159.21
  6. Step 6: Final answer
    x = 170.17

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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.