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Finding the Fourth Proportional to 81.54, 122.25 and 51.06

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Solution

The fourth proportional to 81.54, 122.25 and 51.06 is: 76.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.54 : 122.25 = 51.06 : x
  2. Step 2: Convert to fraction form
    81.54/122.25 = 51.06/x
  3. Step 3: Cross multiply
    81.54x = 122.25 × 51.06
  4. Step 4: Simplify right side
    81.54x = 6,242.09
  5. Step 5: Solve for x
    x = 6,242.09/81.54
  6. Step 6: Final answer
    x = 76.55

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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.