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Finding the Fourth Proportional to 106.15, 146.31 and 73.33

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Solution

The fourth proportional to 106.15, 146.31 and 73.33 is: 101.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.15 : 146.31 = 73.33 : x
  2. Step 2: Convert to fraction form
    106.15/146.31 = 73.33/x
  3. Step 3: Cross multiply
    106.15x = 146.31 × 73.33
  4. Step 4: Simplify right side
    106.15x = 10,728.91
  5. Step 5: Solve for x
    x = 10,728.91/106.15
  6. Step 6: Final answer
    x = 101.07

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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.