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Finding the Fourth Proportional to 82.93, 115.03 and 80.71

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Solution

The fourth proportional to 82.93, 115.03 and 80.71 is: 111.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.93 : 115.03 = 80.71 : x
  2. Step 2: Convert to fraction form
    82.93/115.03 = 80.71/x
  3. Step 3: Cross multiply
    82.93x = 115.03 × 80.71
  4. Step 4: Simplify right side
    82.93x = 9,284.07
  5. Step 5: Solve for x
    x = 9,284.07/82.93
  6. Step 6: Final answer
    x = 111.95

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.