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Finding the Fourth Proportional to 111.75, 166.86 and 96.54

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Solution

The fourth proportional to 111.75, 166.86 and 96.54 is: 144.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.75 : 166.86 = 96.54 : x
  2. Step 2: Convert to fraction form
    111.75/166.86 = 96.54/x
  3. Step 3: Cross multiply
    111.75x = 166.86 × 96.54
  4. Step 4: Simplify right side
    111.75x = 16,108.66
  5. Step 5: Solve for x
    x = 16,108.66/111.75
  6. Step 6: Final answer
    x = 144.15

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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.