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Finding the Fourth Proportional to 379.77, 569.61 and 105.90

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Solution

The fourth proportional to 379.77, 569.61 and 105.90 is: 158.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.77 : 569.61 = 105.90 : x
  2. Step 2: Convert to fraction form
    379.77/569.61 = 105.90/x
  3. Step 3: Cross multiply
    379.77x = 569.61 × 105.90
  4. Step 4: Simplify right side
    379.77x = 60,321.70
  5. Step 5: Solve for x
    x = 60,321.70/379.77
  6. Step 6: Final answer
    x = 158.84

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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.