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Finding the Fourth Proportional to 111.86, 166.35 and 110.66

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Solution

The fourth proportional to 111.86, 166.35 and 110.66 is: 164.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.86 : 166.35 = 110.66 : x
  2. Step 2: Convert to fraction form
    111.86/166.35 = 110.66/x
  3. Step 3: Cross multiply
    111.86x = 166.35 × 110.66
  4. Step 4: Simplify right side
    111.86x = 18,407.74
  5. Step 5: Solve for x
    x = 18,407.74/111.86
  6. Step 6: Final answer
    x = 164.56

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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.