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Finding the Fourth Proportional to 84.71, 127.11 and 81.38

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Solution

The fourth proportional to 84.71, 127.11 and 81.38 is: 122.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.71 : 127.11 = 81.38 : x
  2. Step 2: Convert to fraction form
    84.71/127.11 = 81.38/x
  3. Step 3: Cross multiply
    84.71x = 127.11 × 81.38
  4. Step 4: Simplify right side
    84.71x = 10,344.21
  5. Step 5: Solve for x
    x = 10,344.21/84.71
  6. Step 6: Final answer
    x = 122.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.