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Finding the Fourth Proportional to 69.44, 96.40 and 67.46

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Solution

The fourth proportional to 69.44, 96.40 and 67.46 is: 93.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.44 : 96.40 = 67.46 : x
  2. Step 2: Convert to fraction form
    69.44/96.40 = 67.46/x
  3. Step 3: Cross multiply
    69.44x = 96.40 × 67.46
  4. Step 4: Simplify right side
    69.44x = 6,503.14
  5. Step 5: Solve for x
    x = 6,503.14/69.44
  6. Step 6: Final answer
    x = 93.65

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.