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Finding the Fourth Proportional to 106.84, 146.63 and 98.20

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Solution

The fourth proportional to 106.84, 146.63 and 98.20 is: 134.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.84 : 146.63 = 98.20 : x
  2. Step 2: Convert to fraction form
    106.84/146.63 = 98.20/x
  3. Step 3: Cross multiply
    106.84x = 146.63 × 98.20
  4. Step 4: Simplify right side
    106.84x = 14,399.07
  5. Step 5: Solve for x
    x = 14,399.07/106.84
  6. Step 6: Final answer
    x = 134.77

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.