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Finding the Fourth Proportional to 112.88, 167.84 and 111.80

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Solution

The fourth proportional to 112.88, 167.84 and 111.80 is: 166.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.88 : 167.84 = 111.80 : x
  2. Step 2: Convert to fraction form
    112.88/167.84 = 111.80/x
  3. Step 3: Cross multiply
    112.88x = 167.84 × 111.80
  4. Step 4: Simplify right side
    112.88x = 18,764.51
  5. Step 5: Solve for x
    x = 18,764.51/112.88
  6. Step 6: Final answer
    x = 166.23

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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.