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Finding the Fourth Proportional to 96.23, 132.77 and 79.83

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Solution

The fourth proportional to 96.23, 132.77 and 79.83 is: 110.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.23 : 132.77 = 79.83 : x
  2. Step 2: Convert to fraction form
    96.23/132.77 = 79.83/x
  3. Step 3: Cross multiply
    96.23x = 132.77 × 79.83
  4. Step 4: Simplify right side
    96.23x = 10,599.23
  5. Step 5: Solve for x
    x = 10,599.23/96.23
  6. Step 6: Final answer
    x = 110.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.