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Finding the Fourth Proportional to 82.73, 114.14 and 47.74

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Solution

The fourth proportional to 82.73, 114.14 and 47.74 is: 65.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.73 : 114.14 = 47.74 : x
  2. Step 2: Convert to fraction form
    82.73/114.14 = 47.74/x
  3. Step 3: Cross multiply
    82.73x = 114.14 × 47.74
  4. Step 4: Simplify right side
    82.73x = 5,449.46
  5. Step 5: Solve for x
    x = 5,449.46/82.73
  6. Step 6: Final answer
    x = 65.87

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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.