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Finding the Fourth Proportional to 105.44, 146.10 and 104.12

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Solution

The fourth proportional to 105.44, 146.10 and 104.12 is: 144.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.44 : 146.10 = 104.12 : x
  2. Step 2: Convert to fraction form
    105.44/146.10 = 104.12/x
  3. Step 3: Cross multiply
    105.44x = 146.10 × 104.12
  4. Step 4: Simplify right side
    105.44x = 15,211.93
  5. Step 5: Solve for x
    x = 15,211.93/105.44
  6. Step 6: Final answer
    x = 144.27

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.