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Finding the Fourth Proportional to 159.44, 219.99 and 106.99

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Solution

The fourth proportional to 159.44, 219.99 and 106.99 is: 147.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.44 : 219.99 = 106.99 : x
  2. Step 2: Convert to fraction form
    159.44/219.99 = 106.99/x
  3. Step 3: Cross multiply
    159.44x = 219.99 × 106.99
  4. Step 4: Simplify right side
    159.44x = 23,536.73
  5. Step 5: Solve for x
    x = 23,536.73/159.44
  6. Step 6: Final answer
    x = 147.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.