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Finding the Fourth Proportional to 106.02, 146.25 and 93.78

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Solution

The fourth proportional to 106.02, 146.25 and 93.78 is: 129.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.02 : 146.25 = 93.78 : x
  2. Step 2: Convert to fraction form
    106.02/146.25 = 93.78/x
  3. Step 3: Cross multiply
    106.02x = 146.25 × 93.78
  4. Step 4: Simplify right side
    106.02x = 13,715.33
  5. Step 5: Solve for x
    x = 13,715.33/106.02
  6. Step 6: Final answer
    x = 129.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.