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Finding the Fourth Proportional to 85.44, 117.42 and 75.72

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Solution

The fourth proportional to 85.44, 117.42 and 75.72 is: 104.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.44 : 117.42 = 75.72 : x
  2. Step 2: Convert to fraction form
    85.44/117.42 = 75.72/x
  3. Step 3: Cross multiply
    85.44x = 117.42 × 75.72
  4. Step 4: Simplify right side
    85.44x = 8,891.04
  5. Step 5: Solve for x
    x = 8,891.04/85.44
  6. Step 6: Final answer
    x = 104.06

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.