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Finding the Fourth Proportional to 85.23, 127.71 and 63.54

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Solution

The fourth proportional to 85.23, 127.71 and 63.54 is: 95.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.23 : 127.71 = 63.54 : x
  2. Step 2: Convert to fraction form
    85.23/127.71 = 63.54/x
  3. Step 3: Cross multiply
    85.23x = 127.71 × 63.54
  4. Step 4: Simplify right side
    85.23x = 8,114.69
  5. Step 5: Solve for x
    x = 8,114.69/85.23
  6. Step 6: Final answer
    x = 95.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.