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Finding the Fourth Proportional to 111.24, 166.00 and 99.09

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Solution

The fourth proportional to 111.24, 166.00 and 99.09 is: 147.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.24 : 166.00 = 99.09 : x
  2. Step 2: Convert to fraction form
    111.24/166.00 = 99.09/x
  3. Step 3: Cross multiply
    111.24x = 166.00 × 99.09
  4. Step 4: Simplify right side
    111.24x = 16,448.36
  5. Step 5: Solve for x
    x = 16,448.36/111.24
  6. Step 6: Final answer
    x = 147.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.