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Finding the Fourth Proportional to 167.12, 230.54 and 111.80

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Solution

The fourth proportional to 167.12, 230.54 and 111.80 is: 154.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.12 : 230.54 = 111.80 : x
  2. Step 2: Convert to fraction form
    167.12/230.54 = 111.80/x
  3. Step 3: Cross multiply
    167.12x = 230.54 × 111.80
  4. Step 4: Simplify right side
    167.12x = 25,774.37
  5. Step 5: Solve for x
    x = 25,774.37/167.12
  6. Step 6: Final answer
    x = 154.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.