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Finding the Fourth Proportional to 85.19, 117.45 and 66.96

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Solution

The fourth proportional to 85.19, 117.45 and 66.96 is: 92.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.19 : 117.45 = 66.96 : x
  2. Step 2: Convert to fraction form
    85.19/117.45 = 66.96/x
  3. Step 3: Cross multiply
    85.19x = 117.45 × 66.96
  4. Step 4: Simplify right side
    85.19x = 7,864.45
  5. Step 5: Solve for x
    x = 7,864.45/85.19
  6. Step 6: Final answer
    x = 92.32

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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.