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Finding the Fourth Proportional to 100.80, 151.25 and 73.96

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Solution

The fourth proportional to 100.80, 151.25 and 73.96 is: 110.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.80 : 151.25 = 73.96 : x
  2. Step 2: Convert to fraction form
    100.80/151.25 = 73.96/x
  3. Step 3: Cross multiply
    100.80x = 151.25 × 73.96
  4. Step 4: Simplify right side
    100.80x = 11,185.70
  5. Step 5: Solve for x
    x = 11,185.70/100.80
  6. Step 6: Final answer
    x = 110.97

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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.