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Finding the Fourth Proportional to 82.12, 113.40 and 78.48

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Solution

The fourth proportional to 82.12, 113.40 and 78.48 is: 108.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.12 : 113.40 = 78.48 : x
  2. Step 2: Convert to fraction form
    82.12/113.40 = 78.48/x
  3. Step 3: Cross multiply
    82.12x = 113.40 × 78.48
  4. Step 4: Simplify right side
    82.12x = 8,899.63
  5. Step 5: Solve for x
    x = 8,899.63/82.12
  6. Step 6: Final answer
    x = 108.37

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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.