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Finding the Fourth Proportional to 86.09, 128.54 and 85.22

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Solution

The fourth proportional to 86.09, 128.54 and 85.22 is: 127.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.09 : 128.54 = 85.22 : x
  2. Step 2: Convert to fraction form
    86.09/128.54 = 85.22/x
  3. Step 3: Cross multiply
    86.09x = 128.54 × 85.22
  4. Step 4: Simplify right side
    86.09x = 10,953.75
  5. Step 5: Solve for x
    x = 10,953.75/86.09
  6. Step 6: Final answer
    x = 127.24

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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.