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Finding the Fourth Proportional to 82.82, 114.33 and 54.86

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Solution

The fourth proportional to 82.82, 114.33 and 54.86 is: 75.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.82 : 114.33 = 54.86 : x
  2. Step 2: Convert to fraction form
    82.82/114.33 = 54.86/x
  3. Step 3: Cross multiply
    82.82x = 114.33 × 54.86
  4. Step 4: Simplify right side
    82.82x = 6,271.30
  5. Step 5: Solve for x
    x = 6,271.30/82.82
  6. Step 6: Final answer
    x = 75.73

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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.