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Finding the Fourth Proportional to 106.98, 161.37 and 105.93

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Solution

The fourth proportional to 106.98, 161.37 and 105.93 is: 159.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.98 : 161.37 = 105.93 : x
  2. Step 2: Convert to fraction form
    106.98/161.37 = 105.93/x
  3. Step 3: Cross multiply
    106.98x = 161.37 × 105.93
  4. Step 4: Simplify right side
    106.98x = 17,093.92
  5. Step 5: Solve for x
    x = 17,093.92/106.98
  6. Step 6: Final answer
    x = 159.79

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.