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Finding the Fourth Proportional to 111.03, 165.41 and 105.77

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Solution

The fourth proportional to 111.03, 165.41 and 105.77 is: 157.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.03 : 165.41 = 105.77 : x
  2. Step 2: Convert to fraction form
    111.03/165.41 = 105.77/x
  3. Step 3: Cross multiply
    111.03x = 165.41 × 105.77
  4. Step 4: Simplify right side
    111.03x = 17,494.06
  5. Step 5: Solve for x
    x = 17,494.06/111.03
  6. Step 6: Final answer
    x = 157.56

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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.