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Finding the Fourth Proportional to 85.99, 129.00 and 28.22

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Solution

The fourth proportional to 85.99, 129.00 and 28.22 is: 42.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.99 : 129.00 = 28.22 : x
  2. Step 2: Convert to fraction form
    85.99/129.00 = 28.22/x
  3. Step 3: Cross multiply
    85.99x = 129.00 × 28.22
  4. Step 4: Simplify right side
    85.99x = 3,640.56
  5. Step 5: Solve for x
    x = 3,640.56/85.99
  6. Step 6: Final answer
    x = 42.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.