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Finding the Fourth Proportional to 159.70, 220.41 and 94.21

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Solution

The fourth proportional to 159.70, 220.41 and 94.21 is: 130.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.70 : 220.41 = 94.21 : x
  2. Step 2: Convert to fraction form
    159.70/220.41 = 94.21/x
  3. Step 3: Cross multiply
    159.70x = 220.41 × 94.21
  4. Step 4: Simplify right side
    159.70x = 20,764.83
  5. Step 5: Solve for x
    x = 20,764.83/159.70
  6. Step 6: Final answer
    x = 130.02

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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.