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Finding the Fourth Proportional to 113.09, 168.45 and 107.31

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Solution

The fourth proportional to 113.09, 168.45 and 107.31 is: 159.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.09 : 168.45 = 107.31 : x
  2. Step 2: Convert to fraction form
    113.09/168.45 = 107.31/x
  3. Step 3: Cross multiply
    113.09x = 168.45 × 107.31
  4. Step 4: Simplify right side
    113.09x = 18,076.37
  5. Step 5: Solve for x
    x = 18,076.37/113.09
  6. Step 6: Final answer
    x = 159.84

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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.