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Finding the Fourth Proportional to 82.28, 113.52 and 65

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Solution

The fourth proportional to 82.28, 113.52 and 65 is: 89.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.28 : 113.52 = 65 : x
  2. Step 2: Convert to fraction form
    82.28/113.52 = 65/x
  3. Step 3: Cross multiply
    82.28x = 113.52 × 65
  4. Step 4: Simplify right side
    82.28x = 7,378.80
  5. Step 5: Solve for x
    x = 7,378.80/82.28
  6. Step 6: Final answer
    x = 89.68

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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.