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Finding the Fourth Proportional to 81.94, 122.92 and 24.16

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Solution

The fourth proportional to 81.94, 122.92 and 24.16 is: 36.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.94 : 122.92 = 24.16 : x
  2. Step 2: Convert to fraction form
    81.94/122.92 = 24.16/x
  3. Step 3: Cross multiply
    81.94x = 122.92 × 24.16
  4. Step 4: Simplify right side
    81.94x = 2,969.38
  5. Step 5: Solve for x
    x = 2,969.38/81.94
  6. Step 6: Final answer
    x = 36.24

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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.