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Finding the Fourth Proportional to 111.80, 166.53 and 105.59

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Solution

The fourth proportional to 111.80, 166.53 and 105.59 is: 157.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.80 : 166.53 = 105.59 : x
  2. Step 2: Convert to fraction form
    111.80/166.53 = 105.59/x
  3. Step 3: Cross multiply
    111.80x = 166.53 × 105.59
  4. Step 4: Simplify right side
    111.80x = 17,583.07
  5. Step 5: Solve for x
    x = 17,583.07/111.80
  6. Step 6: Final answer
    x = 157.28

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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.