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Finding the Fourth Proportional to 82.75, 123.44 and 76.66

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Solution

The fourth proportional to 82.75, 123.44 and 76.66 is: 114.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.75 : 123.44 = 76.66 : x
  2. Step 2: Convert to fraction form
    82.75/123.44 = 76.66/x
  3. Step 3: Cross multiply
    82.75x = 123.44 × 76.66
  4. Step 4: Simplify right side
    82.75x = 9,462.91
  5. Step 5: Solve for x
    x = 9,462.91/82.75
  6. Step 6: Final answer
    x = 114.36

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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.