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Finding the Fourth Proportional to 101.06, 151.79 and 72.37

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Solution

The fourth proportional to 101.06, 151.79 and 72.37 is: 108.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.06 : 151.79 = 72.37 : x
  2. Step 2: Convert to fraction form
    101.06/151.79 = 72.37/x
  3. Step 3: Cross multiply
    101.06x = 151.79 × 72.37
  4. Step 4: Simplify right side
    101.06x = 10,984.30
  5. Step 5: Solve for x
    x = 10,984.30/101.06
  6. Step 6: Final answer
    x = 108.70

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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.