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Finding the Fourth Proportional to 380.93, 571.34 and 106.96

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Solution

The fourth proportional to 380.93, 571.34 and 106.96 is: 160.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.93 : 571.34 = 106.96 : x
  2. Step 2: Convert to fraction form
    380.93/571.34 = 106.96/x
  3. Step 3: Cross multiply
    380.93x = 571.34 × 106.96
  4. Step 4: Simplify right side
    380.93x = 61,108.56
  5. Step 5: Solve for x
    x = 61,108.56/380.93
  6. Step 6: Final answer
    x = 160.42

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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.