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Finding the Fourth Proportional to 81.51, 112.23 and 78.27

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Solution

The fourth proportional to 81.51, 112.23 and 78.27 is: 107.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.51 : 112.23 = 78.27 : x
  2. Step 2: Convert to fraction form
    81.51/112.23 = 78.27/x
  3. Step 3: Cross multiply
    81.51x = 112.23 × 78.27
  4. Step 4: Simplify right side
    81.51x = 8,784.24
  5. Step 5: Solve for x
    x = 8,784.24/81.51
  6. Step 6: Final answer
    x = 107.77

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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.