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Finding the Fourth Proportional to 86.56, 118.69 and 85.52

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Solution

The fourth proportional to 86.56, 118.69 and 85.52 is: 117.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.56 : 118.69 = 85.52 : x
  2. Step 2: Convert to fraction form
    86.56/118.69 = 85.52/x
  3. Step 3: Cross multiply
    86.56x = 118.69 × 85.52
  4. Step 4: Simplify right side
    86.56x = 10,150.45
  5. Step 5: Solve for x
    x = 10,150.45/86.56
  6. Step 6: Final answer
    x = 117.27

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.