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Finding the Fourth Proportional to 85.85, 128.25 and 85.43

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Solution

The fourth proportional to 85.85, 128.25 and 85.43 is: 127.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.85 : 128.25 = 85.43 : x
  2. Step 2: Convert to fraction form
    85.85/128.25 = 85.43/x
  3. Step 3: Cross multiply
    85.85x = 128.25 × 85.43
  4. Step 4: Simplify right side
    85.85x = 10,956.40
  5. Step 5: Solve for x
    x = 10,956.40/85.85
  6. Step 6: Final answer
    x = 127.62

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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.