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Finding the Fourth Proportional to 96.24, 143.76 and 80

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Solution

The fourth proportional to 96.24, 143.76 and 80 is: 119.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.24 : 143.76 = 80 : x
  2. Step 2: Convert to fraction form
    96.24/143.76 = 80/x
  3. Step 3: Cross multiply
    96.24x = 143.76 × 80
  4. Step 4: Simplify right side
    96.24x = 11,500.80
  5. Step 5: Solve for x
    x = 11,500.80/96.24
  6. Step 6: Final answer
    x = 119.50

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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.