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Finding the Fourth Proportional to 85.68, 118.24 and 67.28

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Solution

The fourth proportional to 85.68, 118.24 and 67.28 is: 92.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.68 : 118.24 = 67.28 : x
  2. Step 2: Convert to fraction form
    85.68/118.24 = 67.28/x
  3. Step 3: Cross multiply
    85.68x = 118.24 × 67.28
  4. Step 4: Simplify right side
    85.68x = 7,955.19
  5. Step 5: Solve for x
    x = 7,955.19/85.68
  6. Step 6: Final answer
    x = 92.85

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