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Finding the Fourth Proportional to 112.80, 170.28 and 111.60

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Solution

The fourth proportional to 112.80, 170.28 and 111.60 is: 168.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.80 : 170.28 = 111.60 : x
  2. Step 2: Convert to fraction form
    112.80/170.28 = 111.60/x
  3. Step 3: Cross multiply
    112.80x = 170.28 × 111.60
  4. Step 4: Simplify right side
    112.80x = 19,003.25
  5. Step 5: Solve for x
    x = 19,003.25/112.80
  6. Step 6: Final answer
    x = 168.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.