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Finding the Fourth Proportional to 85.76, 117.99 and 77.99

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Solution

The fourth proportional to 85.76, 117.99 and 77.99 is: 107.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.76 : 117.99 = 77.99 : x
  2. Step 2: Convert to fraction form
    85.76/117.99 = 77.99/x
  3. Step 3: Cross multiply
    85.76x = 117.99 × 77.99
  4. Step 4: Simplify right side
    85.76x = 9,202.04
  5. Step 5: Solve for x
    x = 9,202.04/85.76
  6. Step 6: Final answer
    x = 107.30

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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.