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Finding the Fourth Proportional to 100.96, 151.38 and 36.85

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Solution

The fourth proportional to 100.96, 151.38 and 36.85 is: 55.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.96 : 151.38 = 36.85 : x
  2. Step 2: Convert to fraction form
    100.96/151.38 = 36.85/x
  3. Step 3: Cross multiply
    100.96x = 151.38 × 36.85
  4. Step 4: Simplify right side
    100.96x = 5,578.35
  5. Step 5: Solve for x
    x = 5,578.35/100.96
  6. Step 6: Final answer
    x = 55.25

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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.