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Finding the Fourth Proportional to 111.23, 165.98 and 110.48

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Solution

The fourth proportional to 111.23, 165.98 and 110.48 is: 164.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.23 : 165.98 = 110.48 : x
  2. Step 2: Convert to fraction form
    111.23/165.98 = 110.48/x
  3. Step 3: Cross multiply
    111.23x = 165.98 × 110.48
  4. Step 4: Simplify right side
    111.23x = 18,336.09
  5. Step 5: Solve for x
    x = 18,336.09/111.23
  6. Step 6: Final answer
    x = 164.86

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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.