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Finding the Fourth Proportional to 106.94, 159.14 and 104.81

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Solution

The fourth proportional to 106.94, 159.14 and 104.81 is: 155.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.94 : 159.14 = 104.81 : x
  2. Step 2: Convert to fraction form
    106.94/159.14 = 104.81/x
  3. Step 3: Cross multiply
    106.94x = 159.14 × 104.81
  4. Step 4: Simplify right side
    106.94x = 16,678.14
  5. Step 5: Solve for x
    x = 16,678.14/106.94
  6. Step 6: Final answer
    x = 155.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.