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Finding the Fourth Proportional to 69.78, 96.75 and 67.53

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Solution

The fourth proportional to 69.78, 96.75 and 67.53 is: 93.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.78 : 96.75 = 67.53 : x
  2. Step 2: Convert to fraction form
    69.78/96.75 = 67.53/x
  3. Step 3: Cross multiply
    69.78x = 96.75 × 67.53
  4. Step 4: Simplify right side
    69.78x = 6,533.53
  5. Step 5: Solve for x
    x = 6,533.53/69.78
  6. Step 6: Final answer
    x = 93.63

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