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Finding the Fourth Proportional to 213.76, 320.72 and 105.56

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Solution

The fourth proportional to 213.76, 320.72 and 105.56 is: 158.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.76 : 320.72 = 105.56 : x
  2. Step 2: Convert to fraction form
    213.76/320.72 = 105.56/x
  3. Step 3: Cross multiply
    213.76x = 320.72 × 105.56
  4. Step 4: Simplify right side
    213.76x = 33,855.20
  5. Step 5: Solve for x
    x = 33,855.20/213.76
  6. Step 6: Final answer
    x = 158.38

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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.