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Finding the Fourth Proportional to 82.98, 114.49 and 50.23

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Solution

The fourth proportional to 82.98, 114.49 and 50.23 is: 69.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.98 : 114.49 = 50.23 : x
  2. Step 2: Convert to fraction form
    82.98/114.49 = 50.23/x
  3. Step 3: Cross multiply
    82.98x = 114.49 × 50.23
  4. Step 4: Simplify right side
    82.98x = 5,750.83
  5. Step 5: Solve for x
    x = 5,750.83/82.98
  6. Step 6: Final answer
    x = 69.30

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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.