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Finding the Fourth Proportional to 85.96, 128.70 and 66.60

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Solution

The fourth proportional to 85.96, 128.70 and 66.60 is: 99.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.96 : 128.70 = 66.60 : x
  2. Step 2: Convert to fraction form
    85.96/128.70 = 66.60/x
  3. Step 3: Cross multiply
    85.96x = 128.70 × 66.60
  4. Step 4: Simplify right side
    85.96x = 8,571.42
  5. Step 5: Solve for x
    x = 8,571.42/85.96
  6. Step 6: Final answer
    x = 99.71

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Why These Related Problems?

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