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Finding the Fourth Proportional to 85.45, 128.28 and 51.31

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Solution

The fourth proportional to 85.45, 128.28 and 51.31 is: 77.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.45 : 128.28 = 51.31 : x
  2. Step 2: Convert to fraction form
    85.45/128.28 = 51.31/x
  3. Step 3: Cross multiply
    85.45x = 128.28 × 51.31
  4. Step 4: Simplify right side
    85.45x = 6,582.05
  5. Step 5: Solve for x
    x = 6,582.05/85.45
  6. Step 6: Final answer
    x = 77.03

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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.