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Finding the Fourth Proportional to 85.35, 128.07 and 77.88

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Solution

The fourth proportional to 85.35, 128.07 and 77.88 is: 116.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.35 : 128.07 = 77.88 : x
  2. Step 2: Convert to fraction form
    85.35/128.07 = 77.88/x
  3. Step 3: Cross multiply
    85.35x = 128.07 × 77.88
  4. Step 4: Simplify right side
    85.35x = 9,974.09
  5. Step 5: Solve for x
    x = 9,974.09/85.35
  6. Step 6: Final answer
    x = 116.86

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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.