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Finding the Fourth Proportional to 106.84, 158.91 and 104.68

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Solution

The fourth proportional to 106.84, 158.91 and 104.68 is: 155.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.84 : 158.91 = 104.68 : x
  2. Step 2: Convert to fraction form
    106.84/158.91 = 104.68/x
  3. Step 3: Cross multiply
    106.84x = 158.91 × 104.68
  4. Step 4: Simplify right side
    106.84x = 16,634.70
  5. Step 5: Solve for x
    x = 16,634.70/106.84
  6. Step 6: Final answer
    x = 155.70

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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.