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Finding the Fourth Proportional to 105.54, 146.63 and 104.26

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Solution

The fourth proportional to 105.54, 146.63 and 104.26 is: 144.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.54 : 146.63 = 104.26 : x
  2. Step 2: Convert to fraction form
    105.54/146.63 = 104.26/x
  3. Step 3: Cross multiply
    105.54x = 146.63 × 104.26
  4. Step 4: Simplify right side
    105.54x = 15,287.64
  5. Step 5: Solve for x
    x = 15,287.64/105.54
  6. Step 6: Final answer
    x = 144.85

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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.