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Finding the Fourth Proportional to 105.93, 144.25 and 104.06

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Solution

The fourth proportional to 105.93, 144.25 and 104.06 is: 141.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.93 : 144.25 = 104.06 : x
  2. Step 2: Convert to fraction form
    105.93/144.25 = 104.06/x
  3. Step 3: Cross multiply
    105.93x = 144.25 × 104.06
  4. Step 4: Simplify right side
    105.93x = 15,010.76
  5. Step 5: Solve for x
    x = 15,010.76/105.93
  6. Step 6: Final answer
    x = 141.70

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.