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Finding the Fourth Proportional to 103.92, 142.26 and 103.68

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Solution

The fourth proportional to 103.92, 142.26 and 103.68 is: 141.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.92 : 142.26 = 103.68 : x
  2. Step 2: Convert to fraction form
    103.92/142.26 = 103.68/x
  3. Step 3: Cross multiply
    103.92x = 142.26 × 103.68
  4. Step 4: Simplify right side
    103.92x = 14,749.52
  5. Step 5: Solve for x
    x = 14,749.52/103.92
  6. Step 6: Final answer
    x = 141.93

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.