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Finding the Fourth Proportional to 112.80, 168.08 and 106.96

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Solution

The fourth proportional to 112.80, 168.08 and 106.96 is: 159.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.80 : 168.08 = 106.96 : x
  2. Step 2: Convert to fraction form
    112.80/168.08 = 106.96/x
  3. Step 3: Cross multiply
    112.80x = 168.08 × 106.96
  4. Step 4: Simplify right side
    112.80x = 17,977.84
  5. Step 5: Solve for x
    x = 17,977.84/112.80
  6. Step 6: Final answer
    x = 159.38

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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.