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Finding the Fourth Proportional to 96.80, 144.16 and 92.80

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Solution

The fourth proportional to 96.80, 144.16 and 92.80 is: 138.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.80 : 144.16 = 92.80 : x
  2. Step 2: Convert to fraction form
    96.80/144.16 = 92.80/x
  3. Step 3: Cross multiply
    96.80x = 144.16 × 92.80
  4. Step 4: Simplify right side
    96.80x = 13,378.05
  5. Step 5: Solve for x
    x = 13,378.05/96.80
  6. Step 6: Final answer
    x = 138.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.