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Finding the Fourth Proportional to 82.25, 113.52 and 49.52

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Solution

The fourth proportional to 82.25, 113.52 and 49.52 is: 68.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.25 : 113.52 = 49.52 : x
  2. Step 2: Convert to fraction form
    82.25/113.52 = 49.52/x
  3. Step 3: Cross multiply
    82.25x = 113.52 × 49.52
  4. Step 4: Simplify right side
    82.25x = 5,621.98
  5. Step 5: Solve for x
    x = 5,621.98/82.25
  6. Step 6: Final answer
    x = 68.35

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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.