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Finding the Fourth Proportional to 81.44, 112.49 and 57.00

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Solution

The fourth proportional to 81.44, 112.49 and 57.00 is: 78.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.44 : 112.49 = 57.00 : x
  2. Step 2: Convert to fraction form
    81.44/112.49 = 57.00/x
  3. Step 3: Cross multiply
    81.44x = 112.49 × 57.00
  4. Step 4: Simplify right side
    81.44x = 6,412.28
  5. Step 5: Solve for x
    x = 6,412.28/81.44
  6. Step 6: Final answer
    x = 78.74

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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.