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Finding the Fourth Proportional to 110.28, 166.46 and 109.74

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Solution

The fourth proportional to 110.28, 166.46 and 109.74 is: 165.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.28 : 166.46 = 109.74 : x
  2. Step 2: Convert to fraction form
    110.28/166.46 = 109.74/x
  3. Step 3: Cross multiply
    110.28x = 166.46 × 109.74
  4. Step 4: Simplify right side
    110.28x = 18,267.32
  5. Step 5: Solve for x
    x = 18,267.32/110.28
  6. Step 6: Final answer
    x = 165.64

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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.