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Finding the Fourth Proportional to 86.11, 128.32 and 83.21

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Solution

The fourth proportional to 86.11, 128.32 and 83.21 is: 123.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.11 : 128.32 = 83.21 : x
  2. Step 2: Convert to fraction form
    86.11/128.32 = 83.21/x
  3. Step 3: Cross multiply
    86.11x = 128.32 × 83.21
  4. Step 4: Simplify right side
    86.11x = 10,676.66
  5. Step 5: Solve for x
    x = 10,676.66/86.11
  6. Step 6: Final answer
    x = 123.99

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.