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Finding the Fourth Proportional to 111.99, 167.64 and 103.22

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Solution

The fourth proportional to 111.99, 167.64 and 103.22 is: 154.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.99 : 167.64 = 103.22 : x
  2. Step 2: Convert to fraction form
    111.99/167.64 = 103.22/x
  3. Step 3: Cross multiply
    111.99x = 167.64 × 103.22
  4. Step 4: Simplify right side
    111.99x = 17,303.80
  5. Step 5: Solve for x
    x = 17,303.80/111.99
  6. Step 6: Final answer
    x = 154.51

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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.