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Finding the Fourth Proportional to 85.81, 127.83 and 83.78

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Solution

The fourth proportional to 85.81, 127.83 and 83.78 is: 124.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.81 : 127.83 = 83.78 : x
  2. Step 2: Convert to fraction form
    85.81/127.83 = 83.78/x
  3. Step 3: Cross multiply
    85.81x = 127.83 × 83.78
  4. Step 4: Simplify right side
    85.81x = 10,710.00
  5. Step 5: Solve for x
    x = 10,710.00/85.81
  6. Step 6: Final answer
    x = 124.81

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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.