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Finding the Fourth Proportional to 82.15, 113.42 and 63.69

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Solution

The fourth proportional to 82.15, 113.42 and 63.69 is: 87.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.15 : 113.42 = 63.69 : x
  2. Step 2: Convert to fraction form
    82.15/113.42 = 63.69/x
  3. Step 3: Cross multiply
    82.15x = 113.42 × 63.69
  4. Step 4: Simplify right side
    82.15x = 7,223.72
  5. Step 5: Solve for x
    x = 7,223.72/82.15
  6. Step 6: Final answer
    x = 87.93

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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.