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Finding the Fourth Proportional to 82.25, 113.51 and 47.75

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Solution

The fourth proportional to 82.25, 113.51 and 47.75 is: 65.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.25 : 113.51 = 47.75 : x
  2. Step 2: Convert to fraction form
    82.25/113.51 = 47.75/x
  3. Step 3: Cross multiply
    82.25x = 113.51 × 47.75
  4. Step 4: Simplify right side
    82.25x = 5,420.10
  5. Step 5: Solve for x
    x = 5,420.10/82.25
  6. Step 6: Final answer
    x = 65.90

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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.