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Finding the Fourth Proportional to 86.30, 128.48 and 85.85

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Solution

The fourth proportional to 86.30, 128.48 and 85.85 is: 127.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.30 : 128.48 = 85.85 : x
  2. Step 2: Convert to fraction form
    86.30/128.48 = 85.85/x
  3. Step 3: Cross multiply
    86.30x = 128.48 × 85.85
  4. Step 4: Simplify right side
    86.30x = 11,028.94
  5. Step 5: Solve for x
    x = 11,028.94/86.30
  6. Step 6: Final answer
    x = 127.79

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Why These Related Problems?

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