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Finding the Fourth Proportional to 111.77, 166.60 and 110.62

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Solution

The fourth proportional to 111.77, 166.60 and 110.62 is: 164.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.77 : 166.60 = 110.62 : x
  2. Step 2: Convert to fraction form
    111.77/166.60 = 110.62/x
  3. Step 3: Cross multiply
    111.77x = 166.60 × 110.62
  4. Step 4: Simplify right side
    111.77x = 18,429.29
  5. Step 5: Solve for x
    x = 18,429.29/111.77
  6. Step 6: Final answer
    x = 164.89

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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.