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Finding the Fourth Proportional to 107.37, 161.13 and 66.82

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Solution

The fourth proportional to 107.37, 161.13 and 66.82 is: 100.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.37 : 161.13 = 66.82 : x
  2. Step 2: Convert to fraction form
    107.37/161.13 = 66.82/x
  3. Step 3: Cross multiply
    107.37x = 161.13 × 66.82
  4. Step 4: Simplify right side
    107.37x = 10,766.71
  5. Step 5: Solve for x
    x = 10,766.71/107.37
  6. Step 6: Final answer
    x = 100.28

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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.