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Finding the Fourth Proportional to 82.11, 123.73 and 73.38

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Solution

The fourth proportional to 82.11, 123.73 and 73.38 is: 110.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.11 : 123.73 = 73.38 : x
  2. Step 2: Convert to fraction form
    82.11/123.73 = 73.38/x
  3. Step 3: Cross multiply
    82.11x = 123.73 × 73.38
  4. Step 4: Simplify right side
    82.11x = 9,079.31
  5. Step 5: Solve for x
    x = 9,079.31/82.11
  6. Step 6: Final answer
    x = 110.57

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.