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Finding the Fourth Proportional to 96.45, 144.46 and 55.22

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Solution

The fourth proportional to 96.45, 144.46 and 55.22 is: 82.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.45 : 144.46 = 55.22 : x
  2. Step 2: Convert to fraction form
    96.45/144.46 = 55.22/x
  3. Step 3: Cross multiply
    96.45x = 144.46 × 55.22
  4. Step 4: Simplify right side
    96.45x = 7,976.81
  5. Step 5: Solve for x
    x = 7,976.81/96.45
  6. Step 6: Final answer
    x = 82.70

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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.