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Finding the Fourth Proportional to 84.81, 127.22 and 27.81

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Solution

The fourth proportional to 84.81, 127.22 and 27.81 is: 41.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.81 : 127.22 = 27.81 : x
  2. Step 2: Convert to fraction form
    84.81/127.22 = 27.81/x
  3. Step 3: Cross multiply
    84.81x = 127.22 × 27.81
  4. Step 4: Simplify right side
    84.81x = 3,538.27
  5. Step 5: Solve for x
    x = 3,538.27/84.81
  6. Step 6: Final answer
    x = 41.72

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Why These Related Problems?

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