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Finding the Fourth Proportional to 107.22, 160.96 and 66.80

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Solution

The fourth proportional to 107.22, 160.96 and 66.80 is: 100.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.22 : 160.96 = 66.80 : x
  2. Step 2: Convert to fraction form
    107.22/160.96 = 66.80/x
  3. Step 3: Cross multiply
    107.22x = 160.96 × 66.80
  4. Step 4: Simplify right side
    107.22x = 10,752.13
  5. Step 5: Solve for x
    x = 10,752.13/107.22
  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.