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Finding the Fourth Proportional to 106.22, 159.42 and 79.22

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Solution

The fourth proportional to 106.22, 159.42 and 79.22 is: 118.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.22 : 159.42 = 79.22 : x
  2. Step 2: Convert to fraction form
    106.22/159.42 = 79.22/x
  3. Step 3: Cross multiply
    106.22x = 159.42 × 79.22
  4. Step 4: Simplify right side
    106.22x = 12,629.25
  5. Step 5: Solve for x
    x = 12,629.25/106.22
  6. Step 6: Final answer
    x = 118.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.