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Finding the Fourth Proportional to 81.69, 112.56 and 57.09

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Solution

The fourth proportional to 81.69, 112.56 and 57.09 is: 78.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.69 : 112.56 = 57.09 : x
  2. Step 2: Convert to fraction form
    81.69/112.56 = 57.09/x
  3. Step 3: Cross multiply
    81.69x = 112.56 × 57.09
  4. Step 4: Simplify right side
    81.69x = 6,426.05
  5. Step 5: Solve for x
    x = 6,426.05/81.69
  6. Step 6: Final answer
    x = 78.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.