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Finding the Fourth Proportional to 112.80, 168.96 and 76.56

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Solution

The fourth proportional to 112.80, 168.96 and 76.56 is: 114.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.80 : 168.96 = 76.56 : x
  2. Step 2: Convert to fraction form
    112.80/168.96 = 76.56/x
  3. Step 3: Cross multiply
    112.80x = 168.96 × 76.56
  4. Step 4: Simplify right side
    112.80x = 12,935.58
  5. Step 5: Solve for x
    x = 12,935.58/112.80
  6. Step 6: Final answer
    x = 114.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.