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Finding the Fourth Proportional to 85.50, 128.13 and 51.27

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Solution

The fourth proportional to 85.50, 128.13 and 51.27 is: 76.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.50 : 128.13 = 51.27 : x
  2. Step 2: Convert to fraction form
    85.50/128.13 = 51.27/x
  3. Step 3: Cross multiply
    85.50x = 128.13 × 51.27
  4. Step 4: Simplify right side
    85.50x = 6,569.23
  5. Step 5: Solve for x
    x = 6,569.23/85.50
  6. Step 6: Final answer
    x = 76.83

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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.