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Finding the Fourth Proportional to 81.54, 122.22 and 32.77

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Solution

The fourth proportional to 81.54, 122.22 and 32.77 is: 49.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.54 : 122.22 = 32.77 : x
  2. Step 2: Convert to fraction form
    81.54/122.22 = 32.77/x
  3. Step 3: Cross multiply
    81.54x = 122.22 × 32.77
  4. Step 4: Simplify right side
    81.54x = 4,005.23
  5. Step 5: Solve for x
    x = 4,005.23/81.54
  6. Step 6: Final answer
    x = 49.12

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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.