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Finding the Fourth Proportional to 213.94, 320.92 and 105.70

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Solution

The fourth proportional to 213.94, 320.92 and 105.70 is: 158.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.94 : 320.92 = 105.70 : x
  2. Step 2: Convert to fraction form
    213.94/320.92 = 105.70/x
  3. Step 3: Cross multiply
    213.94x = 320.92 × 105.70
  4. Step 4: Simplify right side
    213.94x = 33,921.24
  5. Step 5: Solve for x
    x = 33,921.24/213.94
  6. Step 6: Final answer
    x = 158.55

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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.