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Finding the Fourth Proportional to 82.56, 123.57 and 77.34

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Solution

The fourth proportional to 82.56, 123.57 and 77.34 is: 115.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.56 : 123.57 = 77.34 : x
  2. Step 2: Convert to fraction form
    82.56/123.57 = 77.34/x
  3. Step 3: Cross multiply
    82.56x = 123.57 × 77.34
  4. Step 4: Simplify right side
    82.56x = 9,556.90
  5. Step 5: Solve for x
    x = 9,556.90/82.56
  6. Step 6: Final answer
    x = 115.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.