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Finding the Fourth Proportional to 111.28, 166.96 and 70.64

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Solution

The fourth proportional to 111.28, 166.96 and 70.64 is: 105.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.28 : 166.96 = 70.64 : x
  2. Step 2: Convert to fraction form
    111.28/166.96 = 70.64/x
  3. Step 3: Cross multiply
    111.28x = 166.96 × 70.64
  4. Step 4: Simplify right side
    111.28x = 11,794.05
  5. Step 5: Solve for x
    x = 11,794.05/111.28
  6. Step 6: Final answer
    x = 105.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.