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Finding the Fourth Proportional to 113.10, 168.69 and 107.31

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Solution

The fourth proportional to 113.10, 168.69 and 107.31 is: 160.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.10 : 168.69 = 107.31 : x
  2. Step 2: Convert to fraction form
    113.10/168.69 = 107.31/x
  3. Step 3: Cross multiply
    113.10x = 168.69 × 107.31
  4. Step 4: Simplify right side
    113.10x = 18,102.12
  5. Step 5: Solve for x
    x = 18,102.12/113.10
  6. Step 6: Final answer
    x = 160.05

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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.