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Finding the Fourth Proportional to 85.32, 117.04 and 83.08

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Solution

The fourth proportional to 85.32, 117.04 and 83.08 is: 113.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.32 : 117.04 = 83.08 : x
  2. Step 2: Convert to fraction form
    85.32/117.04 = 83.08/x
  3. Step 3: Cross multiply
    85.32x = 117.04 × 83.08
  4. Step 4: Simplify right side
    85.32x = 9,723.68
  5. Step 5: Solve for x
    x = 9,723.68/85.32
  6. Step 6: Final answer
    x = 113.97

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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.