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Finding the Fourth Proportional to 85.22, 127.74 and 54.81

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Solution

The fourth proportional to 85.22, 127.74 and 54.81 is: 82.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.22 : 127.74 = 54.81 : x
  2. Step 2: Convert to fraction form
    85.22/127.74 = 54.81/x
  3. Step 3: Cross multiply
    85.22x = 127.74 × 54.81
  4. Step 4: Simplify right side
    85.22x = 7,001.43
  5. Step 5: Solve for x
    x = 7,001.43/85.22
  6. Step 6: Final answer
    x = 82.16

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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.