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Finding the Fourth Proportional to 81.16, 121.77 and 27.07

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Solution

The fourth proportional to 81.16, 121.77 and 27.07 is: 40.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.16 : 121.77 = 27.07 : x
  2. Step 2: Convert to fraction form
    81.16/121.77 = 27.07/x
  3. Step 3: Cross multiply
    81.16x = 121.77 × 27.07
  4. Step 4: Simplify right side
    81.16x = 3,296.31
  5. Step 5: Solve for x
    x = 3,296.31/81.16
  6. Step 6: Final answer
    x = 40.62

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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.