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Finding the Fourth Proportional to 120.28, 165.84 and 83.46

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Solution

The fourth proportional to 120.28, 165.84 and 83.46 is: 115.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.28 : 165.84 = 83.46 : x
  2. Step 2: Convert to fraction form
    120.28/165.84 = 83.46/x
  3. Step 3: Cross multiply
    120.28x = 165.84 × 83.46
  4. Step 4: Simplify right side
    120.28x = 13,841.01
  5. Step 5: Solve for x
    x = 13,841.01/120.28
  6. Step 6: Final answer
    x = 115.07

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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.