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Finding the Fourth Proportional to 85.51, 118.16 and 69.92

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Solution

The fourth proportional to 85.51, 118.16 and 69.92 is: 96.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.51 : 118.16 = 69.92 : x
  2. Step 2: Convert to fraction form
    85.51/118.16 = 69.92/x
  3. Step 3: Cross multiply
    85.51x = 118.16 × 69.92
  4. Step 4: Simplify right side
    85.51x = 8,261.75
  5. Step 5: Solve for x
    x = 8,261.75/85.51
  6. Step 6: Final answer
    x = 96.62

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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.