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Finding the Fourth Proportional to 85.93, 128.91 and 75.20

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Solution

The fourth proportional to 85.93, 128.91 and 75.20 is: 112.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.93 : 128.91 = 75.20 : x
  2. Step 2: Convert to fraction form
    85.93/128.91 = 75.20/x
  3. Step 3: Cross multiply
    85.93x = 128.91 × 75.20
  4. Step 4: Simplify right side
    85.93x = 9,694.03
  5. Step 5: Solve for x
    x = 9,694.03/85.93
  6. Step 6: Final answer
    x = 112.81

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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.