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Finding the Fourth Proportional to 82.23, 113.43 and 49.02

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Solution

The fourth proportional to 82.23, 113.43 and 49.02 is: 67.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.23 : 113.43 = 49.02 : x
  2. Step 2: Convert to fraction form
    82.23/113.43 = 49.02/x
  3. Step 3: Cross multiply
    82.23x = 113.43 × 49.02
  4. Step 4: Simplify right side
    82.23x = 5,560.34
  5. Step 5: Solve for x
    x = 5,560.34/82.23
  6. Step 6: Final answer
    x = 67.62

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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.