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Finding the Fourth Proportional to 105.09, 144.81 and 94

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Solution

The fourth proportional to 105.09, 144.81 and 94 is: 129.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.09 : 144.81 = 94 : x
  2. Step 2: Convert to fraction form
    105.09/144.81 = 94/x
  3. Step 3: Cross multiply
    105.09x = 144.81 × 94
  4. Step 4: Simplify right side
    105.09x = 13,612.14
  5. Step 5: Solve for x
    x = 13,612.14/105.09
  6. Step 6: Final answer
    x = 129.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.