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Finding the Fourth Proportional to 111.98, 169.02 and 107.72

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Solution

The fourth proportional to 111.98, 169.02 and 107.72 is: 162.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.98 : 169.02 = 107.72 : x
  2. Step 2: Convert to fraction form
    111.98/169.02 = 107.72/x
  3. Step 3: Cross multiply
    111.98x = 169.02 × 107.72
  4. Step 4: Simplify right side
    111.98x = 18,206.83
  5. Step 5: Solve for x
    x = 18,206.83/111.98
  6. Step 6: Final answer
    x = 162.59

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