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Finding the Fourth Proportional to 86.46, 128.78 and 85.56

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Solution

The fourth proportional to 86.46, 128.78 and 85.56 is: 127.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.46 : 128.78 = 85.56 : x
  2. Step 2: Convert to fraction form
    86.46/128.78 = 85.56/x
  3. Step 3: Cross multiply
    86.46x = 128.78 × 85.56
  4. Step 4: Simplify right side
    86.46x = 11,017.99
  5. Step 5: Solve for x
    x = 11,017.99/86.46
  6. Step 6: Final answer
    x = 127.43

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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.