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Finding the Fourth Proportional to 72.37, 107.97 and 71.61

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Solution

The fourth proportional to 72.37, 107.97 and 71.61 is: 106.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.37 : 107.97 = 71.61 : x
  2. Step 2: Convert to fraction form
    72.37/107.97 = 71.61/x
  3. Step 3: Cross multiply
    72.37x = 107.97 × 71.61
  4. Step 4: Simplify right side
    72.37x = 7,731.73
  5. Step 5: Solve for x
    x = 7,731.73/72.37
  6. Step 6: Final answer
    x = 106.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.