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Finding the Fourth Proportional to 110.87, 152.95 and 69.44

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Solution

The fourth proportional to 110.87, 152.95 and 69.44 is: 95.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.87 : 152.95 = 69.44 : x
  2. Step 2: Convert to fraction form
    110.87/152.95 = 69.44/x
  3. Step 3: Cross multiply
    110.87x = 152.95 × 69.44
  4. Step 4: Simplify right side
    110.87x = 10,620.85
  5. Step 5: Solve for x
    x = 10,620.85/110.87
  6. Step 6: Final answer
    x = 95.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.