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Finding the Fourth Proportional to 121.99, 168.42 and 105.34

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Solution

The fourth proportional to 121.99, 168.42 and 105.34 is: 145.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.99 : 168.42 = 105.34 : x
  2. Step 2: Convert to fraction form
    121.99/168.42 = 105.34/x
  3. Step 3: Cross multiply
    121.99x = 168.42 × 105.34
  4. Step 4: Simplify right side
    121.99x = 17,741.36
  5. Step 5: Solve for x
    x = 17,741.36/121.99
  6. Step 6: Final answer
    x = 145.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.