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Finding the Fourth Proportional to 100.75, 150.96 and 76.63

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Solution

The fourth proportional to 100.75, 150.96 and 76.63 is: 114.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.75 : 150.96 = 76.63 : x
  2. Step 2: Convert to fraction form
    100.75/150.96 = 76.63/x
  3. Step 3: Cross multiply
    100.75x = 150.96 × 76.63
  4. Step 4: Simplify right side
    100.75x = 11,568.06
  5. Step 5: Solve for x
    x = 11,568.06/100.75
  6. Step 6: Final answer
    x = 114.82

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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.