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Finding the Fourth Proportional to 106.06, 159 and 83.11

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Solution

The fourth proportional to 106.06, 159 and 83.11 is: 124.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.06 : 159 = 83.11 : x
  2. Step 2: Convert to fraction form
    106.06/159 = 83.11/x
  3. Step 3: Cross multiply
    106.06x = 159 × 83.11
  4. Step 4: Simplify right side
    106.06x = 13,214.49
  5. Step 5: Solve for x
    x = 13,214.49/106.06
  6. Step 6: Final answer
    x = 124.59

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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.