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Finding the Fourth Proportional to 86.46, 128.97 and 77.34

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Solution

The fourth proportional to 86.46, 128.97 and 77.34 is: 115.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.46 : 128.97 = 77.34 : x
  2. Step 2: Convert to fraction form
    86.46/128.97 = 77.34/x
  3. Step 3: Cross multiply
    86.46x = 128.97 × 77.34
  4. Step 4: Simplify right side
    86.46x = 9,974.54
  5. Step 5: Solve for x
    x = 9,974.54/86.46
  6. Step 6: Final answer
    x = 115.37

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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.