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Finding the Fourth Proportional to 111.06, 166.38 and 42.48

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Solution

The fourth proportional to 111.06, 166.38 and 42.48 is: 63.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.06 : 166.38 = 42.48 : x
  2. Step 2: Convert to fraction form
    111.06/166.38 = 42.48/x
  3. Step 3: Cross multiply
    111.06x = 166.38 × 42.48
  4. Step 4: Simplify right side
    111.06x = 7,067.82
  5. Step 5: Solve for x
    x = 7,067.82/111.06
  6. Step 6: Final answer
    x = 63.64

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