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Finding the Fourth Proportional to 106.78, 159.97 and 63.33

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Solution

The fourth proportional to 106.78, 159.97 and 63.33 is: 94.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.78 : 159.97 = 63.33 : x
  2. Step 2: Convert to fraction form
    106.78/159.97 = 63.33/x
  3. Step 3: Cross multiply
    106.78x = 159.97 × 63.33
  4. Step 4: Simplify right side
    106.78x = 10,130.90
  5. Step 5: Solve for x
    x = 10,130.90/106.78
  6. Step 6: Final answer
    x = 94.88

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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.