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Finding the Fourth Proportional to 85.48, 128.46 and 83.04

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Solution

The fourth proportional to 85.48, 128.46 and 83.04 is: 124.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.48 : 128.46 = 83.04 : x
  2. Step 2: Convert to fraction form
    85.48/128.46 = 83.04/x
  3. Step 3: Cross multiply
    85.48x = 128.46 × 83.04
  4. Step 4: Simplify right side
    85.48x = 10,667.32
  5. Step 5: Solve for x
    x = 10,667.32/85.48
  6. Step 6: Final answer
    x = 124.79

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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.