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Finding the Fourth Proportional to 85.54, 127.64 and 76.46

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Solution

The fourth proportional to 85.54, 127.64 and 76.46 is: 114.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.54 : 127.64 = 76.46 : x
  2. Step 2: Convert to fraction form
    85.54/127.64 = 76.46/x
  3. Step 3: Cross multiply
    85.54x = 127.64 × 76.46
  4. Step 4: Simplify right side
    85.54x = 9,759.35
  5. Step 5: Solve for x
    x = 9,759.35/85.54
  6. Step 6: Final answer
    x = 114.09

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.