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Finding the Fourth Proportional to 107.09, 159.99 and 105.47

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Solution

The fourth proportional to 107.09, 159.99 and 105.47 is: 157.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.09 : 159.99 = 105.47 : x
  2. Step 2: Convert to fraction form
    107.09/159.99 = 105.47/x
  3. Step 3: Cross multiply
    107.09x = 159.99 × 105.47
  4. Step 4: Simplify right side
    107.09x = 16,874.15
  5. Step 5: Solve for x
    x = 16,874.15/107.09
  6. Step 6: Final answer
    x = 157.57

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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.