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Finding the Fourth Proportional to 120.28, 165.78 and 94.06

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Solution

The fourth proportional to 120.28, 165.78 and 94.06 is: 129.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.28 : 165.78 = 94.06 : x
  2. Step 2: Convert to fraction form
    120.28/165.78 = 94.06/x
  3. Step 3: Cross multiply
    120.28x = 165.78 × 94.06
  4. Step 4: Simplify right side
    120.28x = 15,593.27
  5. Step 5: Solve for x
    x = 15,593.27/120.28
  6. Step 6: Final answer
    x = 129.64

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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.