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Finding the Fourth Proportional to 84.67, 127.10 and 57.54

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Solution

The fourth proportional to 84.67, 127.10 and 57.54 is: 86.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.67 : 127.10 = 57.54 : x
  2. Step 2: Convert to fraction form
    84.67/127.10 = 57.54/x
  3. Step 3: Cross multiply
    84.67x = 127.10 × 57.54
  4. Step 4: Simplify right side
    84.67x = 7,313.33
  5. Step 5: Solve for x
    x = 7,313.33/84.67
  6. Step 6: Final answer
    x = 86.37

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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.