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Finding the Fourth Proportional to 105.66, 146.60 and 104.73

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Solution

The fourth proportional to 105.66, 146.60 and 104.73 is: 145.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.66 : 146.60 = 104.73 : x
  2. Step 2: Convert to fraction form
    105.66/146.60 = 104.73/x
  3. Step 3: Cross multiply
    105.66x = 146.60 × 104.73
  4. Step 4: Simplify right side
    105.66x = 15,352.89
  5. Step 5: Solve for x
    x = 15,352.89/105.66
  6. Step 6: Final answer
    x = 145.30

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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.