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Finding the Fourth Proportional to 85.42, 128.24 and 81.77

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Solution

The fourth proportional to 85.42, 128.24 and 81.77 is: 122.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.42 : 128.24 = 81.77 : x
  2. Step 2: Convert to fraction form
    85.42/128.24 = 81.77/x
  3. Step 3: Cross multiply
    85.42x = 128.24 × 81.77
  4. Step 4: Simplify right side
    85.42x = 10,485.78
  5. Step 5: Solve for x
    x = 10,485.78/85.42
  6. Step 6: Final answer
    x = 122.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.