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Finding the Fourth Proportional to 100.67, 150.75 and 77.75

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Solution

The fourth proportional to 100.67, 150.75 and 77.75 is: 116.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.67 : 150.75 = 77.75 : x
  2. Step 2: Convert to fraction form
    100.67/150.75 = 77.75/x
  3. Step 3: Cross multiply
    100.67x = 150.75 × 77.75
  4. Step 4: Simplify right side
    100.67x = 11,720.81
  5. Step 5: Solve for x
    x = 11,720.81/100.67
  6. Step 6: Final answer
    x = 116.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.