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Finding the Fourth Proportional to 120.14, 180.44 and 105.90

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Solution

The fourth proportional to 120.14, 180.44 and 105.90 is: 159.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.14 : 180.44 = 105.90 : x
  2. Step 2: Convert to fraction form
    120.14/180.44 = 105.90/x
  3. Step 3: Cross multiply
    120.14x = 180.44 × 105.90
  4. Step 4: Simplify right side
    120.14x = 19,108.60
  5. Step 5: Solve for x
    x = 19,108.60/120.14
  6. Step 6: Final answer
    x = 159.05

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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.