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Finding the Fourth Proportional to 82.72, 114.03 and 68.05

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Solution

The fourth proportional to 82.72, 114.03 and 68.05 is: 93.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.72 : 114.03 = 68.05 : x
  2. Step 2: Convert to fraction form
    82.72/114.03 = 68.05/x
  3. Step 3: Cross multiply
    82.72x = 114.03 × 68.05
  4. Step 4: Simplify right side
    82.72x = 7,759.74
  5. Step 5: Solve for x
    x = 7,759.74/82.72
  6. Step 6: Final answer
    x = 93.81

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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.