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Finding the Fourth Proportional to 106.09, 158.91 and 54.69

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Solution

The fourth proportional to 106.09, 158.91 and 54.69 is: 81.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.09 : 158.91 = 54.69 : x
  2. Step 2: Convert to fraction form
    106.09/158.91 = 54.69/x
  3. Step 3: Cross multiply
    106.09x = 158.91 × 54.69
  4. Step 4: Simplify right side
    106.09x = 8,691.19
  5. Step 5: Solve for x
    x = 8,691.19/106.09
  6. Step 6: Final answer
    x = 81.92

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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.