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Finding the Fourth Proportional to 105.33, 157.99 and 80.99

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Solution

The fourth proportional to 105.33, 157.99 and 80.99 is: 121.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.33 : 157.99 = 80.99 : x
  2. Step 2: Convert to fraction form
    105.33/157.99 = 80.99/x
  3. Step 3: Cross multiply
    105.33x = 157.99 × 80.99
  4. Step 4: Simplify right side
    105.33x = 12,794.82
  5. Step 5: Solve for x
    x = 12,794.82/105.33
  6. Step 6: Final answer
    x = 121.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.