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Finding the Fourth Proportional to 82.97, 114.49 and 50.23

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Solution

The fourth proportional to 82.97, 114.49 and 50.23 is: 69.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.97 : 114.49 = 50.23 : x
  2. Step 2: Convert to fraction form
    82.97/114.49 = 50.23/x
  3. Step 3: Cross multiply
    82.97x = 114.49 × 50.23
  4. Step 4: Simplify right side
    82.97x = 5,750.61
  5. Step 5: Solve for x
    x = 5,750.61/82.97
  6. Step 6: Final answer
    x = 69.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.