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Finding the Fourth Proportional to 106.01, 146.11 and 72.79

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Solution

The fourth proportional to 106.01, 146.11 and 72.79 is: 100.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.01 : 146.11 = 72.79 : x
  2. Step 2: Convert to fraction form
    106.01/146.11 = 72.79/x
  3. Step 3: Cross multiply
    106.01x = 146.11 × 72.79
  4. Step 4: Simplify right side
    106.01x = 10,635.35
  5. Step 5: Solve for x
    x = 10,635.35/106.01
  6. Step 6: Final answer
    x = 100.32

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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.