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Finding the Fourth Proportional to 112.26, 167.52 and 100.80

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Solution

The fourth proportional to 112.26, 167.52 and 100.80 is: 150.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.26 : 167.52 = 100.80 : x
  2. Step 2: Convert to fraction form
    112.26/167.52 = 100.80/x
  3. Step 3: Cross multiply
    112.26x = 167.52 × 100.80
  4. Step 4: Simplify right side
    112.26x = 16,886.02
  5. Step 5: Solve for x
    x = 16,886.02/112.26
  6. Step 6: Final answer
    x = 150.42

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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.