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Finding the Fourth Proportional to 75.26, 113.50 and 74.48

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Solution

The fourth proportional to 75.26, 113.50 and 74.48 is: 112.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.26 : 113.50 = 74.48 : x
  2. Step 2: Convert to fraction form
    75.26/113.50 = 74.48/x
  3. Step 3: Cross multiply
    75.26x = 113.50 × 74.48
  4. Step 4: Simplify right side
    75.26x = 8,453.48
  5. Step 5: Solve for x
    x = 8,453.48/75.26
  6. Step 6: Final answer
    x = 112.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.