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Finding the Fourth Proportional to 82.11, 122.51 and 78.26

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Solution

The fourth proportional to 82.11, 122.51 and 78.26 is: 116.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.11 : 122.51 = 78.26 : x
  2. Step 2: Convert to fraction form
    82.11/122.51 = 78.26/x
  3. Step 3: Cross multiply
    82.11x = 122.51 × 78.26
  4. Step 4: Simplify right side
    82.11x = 9,586.63
  5. Step 5: Solve for x
    x = 9,586.63/82.11
  6. Step 6: Final answer
    x = 116.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.