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Finding the Fourth Proportional to 112.25, 154.89 and 68.60

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Solution

The fourth proportional to 112.25, 154.89 and 68.60 is: 94.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.25 : 154.89 = 68.60 : x
  2. Step 2: Convert to fraction form
    112.25/154.89 = 68.60/x
  3. Step 3: Cross multiply
    112.25x = 154.89 × 68.60
  4. Step 4: Simplify right side
    112.25x = 10,624.68
  5. Step 5: Solve for x
    x = 10,624.68/112.25
  6. Step 6: Final answer
    x = 94.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.