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Finding the Fourth Proportional to 111.68, 166.32 and 107.76

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Solution

The fourth proportional to 111.68, 166.32 and 107.76 is: 160.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.68 : 166.32 = 107.76 : x
  2. Step 2: Convert to fraction form
    111.68/166.32 = 107.76/x
  3. Step 3: Cross multiply
    111.68x = 166.32 × 107.76
  4. Step 4: Simplify right side
    111.68x = 17,922.64
  5. Step 5: Solve for x
    x = 17,922.64/111.68
  6. Step 6: Final answer
    x = 160.48

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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.