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Finding the Fourth Proportional to 111.28, 167.86 and 104.62

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Solution

The fourth proportional to 111.28, 167.86 and 104.62 is: 157.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.28 : 167.86 = 104.62 : x
  2. Step 2: Convert to fraction form
    111.28/167.86 = 104.62/x
  3. Step 3: Cross multiply
    111.28x = 167.86 × 104.62
  4. Step 4: Simplify right side
    111.28x = 17,561.51
  5. Step 5: Solve for x
    x = 17,561.51/111.28
  6. Step 6: Final answer
    x = 157.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.