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Finding the Fourth Proportional to 88.29, 120.96 and 83.43

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Solution

The fourth proportional to 88.29, 120.96 and 83.43 is: 114.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.29 : 120.96 = 83.43 : x
  2. Step 2: Convert to fraction form
    88.29/120.96 = 83.43/x
  3. Step 3: Cross multiply
    88.29x = 120.96 × 83.43
  4. Step 4: Simplify right side
    88.29x = 10,091.69
  5. Step 5: Solve for x
    x = 10,091.69/88.29
  6. Step 6: Final answer
    x = 114.30

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.