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Finding the Fourth Proportional to 100.85, 151.16 and 71.96

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Solution

The fourth proportional to 100.85, 151.16 and 71.96 is: 107.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.85 : 151.16 = 71.96 : x
  2. Step 2: Convert to fraction form
    100.85/151.16 = 71.96/x
  3. Step 3: Cross multiply
    100.85x = 151.16 × 71.96
  4. Step 4: Simplify right side
    100.85x = 10,876.36
  5. Step 5: Solve for x
    x = 10,876.36/100.85
  6. Step 6: Final answer
    x = 107.85

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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.