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Finding the Fourth Proportional to 82.57, 122.97 and 77.57

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Solution

The fourth proportional to 82.57, 122.97 and 77.57 is: 115.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.57 : 122.97 = 77.57 : x
  2. Step 2: Convert to fraction form
    82.57/122.97 = 77.57/x
  3. Step 3: Cross multiply
    82.57x = 122.97 × 77.57
  4. Step 4: Simplify right side
    82.57x = 9,538.78
  5. Step 5: Solve for x
    x = 9,538.78/82.57
  6. Step 6: Final answer
    x = 115.52

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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.