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Finding the Fourth Proportional to 113.28, 169.44 and 76.80

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Solution

The fourth proportional to 113.28, 169.44 and 76.80 is: 114.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.28 : 169.44 = 76.80 : x
  2. Step 2: Convert to fraction form
    113.28/169.44 = 76.80/x
  3. Step 3: Cross multiply
    113.28x = 169.44 × 76.80
  4. Step 4: Simplify right side
    113.28x = 13,012.99
  5. Step 5: Solve for x
    x = 13,012.99/113.28
  6. Step 6: Final answer
    x = 114.87

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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.