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Finding the Fourth Proportional to 82.02, 113.13 and 63.65

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Solution

The fourth proportional to 82.02, 113.13 and 63.65 is: 87.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.02 : 113.13 = 63.65 : x
  2. Step 2: Convert to fraction form
    82.02/113.13 = 63.65/x
  3. Step 3: Cross multiply
    82.02x = 113.13 × 63.65
  4. Step 4: Simplify right side
    82.02x = 7,200.72
  5. Step 5: Solve for x
    x = 7,200.72/82.02
  6. Step 6: Final answer
    x = 87.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.