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Finding the Fourth Proportional to 59.12, 81.09 and 51.83

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Solution

The fourth proportional to 59.12, 81.09 and 51.83 is: 71.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.12 : 81.09 = 51.83 : x
  2. Step 2: Convert to fraction form
    59.12/81.09 = 51.83/x
  3. Step 3: Cross multiply
    59.12x = 81.09 × 51.83
  4. Step 4: Simplify right side
    59.12x = 4,202.89
  5. Step 5: Solve for x
    x = 4,202.89/59.12
  6. Step 6: Final answer
    x = 71.09

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.