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Finding the Fourth Proportional to 120.05, 179.99 and 38.91

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Solution

The fourth proportional to 120.05, 179.99 and 38.91 is: 58.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.05 : 179.99 = 38.91 : x
  2. Step 2: Convert to fraction form
    120.05/179.99 = 38.91/x
  3. Step 3: Cross multiply
    120.05x = 179.99 × 38.91
  4. Step 4: Simplify right side
    120.05x = 7,003.22
  5. Step 5: Solve for x
    x = 7,003.22/120.05
  6. Step 6: Final answer
    x = 58.34

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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.