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Finding the Fourth Proportional to 111.36, 166.96 and 53.64

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Solution

The fourth proportional to 111.36, 166.96 and 53.64 is: 80.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.36 : 166.96 = 53.64 : x
  2. Step 2: Convert to fraction form
    111.36/166.96 = 53.64/x
  3. Step 3: Cross multiply
    111.36x = 166.96 × 53.64
  4. Step 4: Simplify right side
    111.36x = 8,955.73
  5. Step 5: Solve for x
    x = 8,955.73/111.36
  6. Step 6: Final answer
    x = 80.42

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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.