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Finding the Fourth Proportional to 213.90, 320.96 and 77.05

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Solution

The fourth proportional to 213.90, 320.96 and 77.05 is: 115.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.90 : 320.96 = 77.05 : x
  2. Step 2: Convert to fraction form
    213.90/320.96 = 77.05/x
  3. Step 3: Cross multiply
    213.90x = 320.96 × 77.05
  4. Step 4: Simplify right side
    213.90x = 24,728.78
  5. Step 5: Solve for x
    x = 24,728.78/213.90
  6. Step 6: Final answer
    x = 115.61

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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.