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Finding the Fourth Proportional to 111.09, 166.64 and 63.00

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Solution

The fourth proportional to 111.09, 166.64 and 63.00 is: 94.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.09 : 166.64 = 63.00 : x
  2. Step 2: Convert to fraction form
    111.09/166.64 = 63.00/x
  3. Step 3: Cross multiply
    111.09x = 166.64 × 63.00
  4. Step 4: Simplify right side
    111.09x = 10,499.10
  5. Step 5: Solve for x
    x = 10,499.10/111.09
  6. Step 6: Final answer
    x = 94.51

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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.