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Finding the Fourth Proportional to 96.85, 144.66 and 69.78

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Solution

The fourth proportional to 96.85, 144.66 and 69.78 is: 104.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.85 : 144.66 = 69.78 : x
  2. Step 2: Convert to fraction form
    96.85/144.66 = 69.78/x
  3. Step 3: Cross multiply
    96.85x = 144.66 × 69.78
  4. Step 4: Simplify right side
    96.85x = 10,094.37
  5. Step 5: Solve for x
    x = 10,094.37/96.85
  6. Step 6: Final answer
    x = 104.23

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.