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Finding the Fourth Proportional to 113.12, 168.73 and 105.56

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Solution

The fourth proportional to 113.12, 168.73 and 105.56 is: 157.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.12 : 168.73 = 105.56 : x
  2. Step 2: Convert to fraction form
    113.12/168.73 = 105.56/x
  3. Step 3: Cross multiply
    113.12x = 168.73 × 105.56
  4. Step 4: Simplify right side
    113.12x = 17,811.14
  5. Step 5: Solve for x
    x = 17,811.14/113.12
  6. Step 6: Final answer
    x = 157.45

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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.