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Finding the Fourth Proportional to 96.27, 144.45 and 73.47

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Solution

The fourth proportional to 96.27, 144.45 and 73.47 is: 110.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.27 : 144.45 = 73.47 : x
  2. Step 2: Convert to fraction form
    96.27/144.45 = 73.47/x
  3. Step 3: Cross multiply
    96.27x = 144.45 × 73.47
  4. Step 4: Simplify right side
    96.27x = 10,612.74
  5. Step 5: Solve for x
    x = 10,612.74/96.27
  6. Step 6: Final answer
    x = 110.24

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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.