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Finding the Fourth Proportional to 120.39, 165.98 and 95.78

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Solution

The fourth proportional to 120.39, 165.98 and 95.78 is: 132.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.39 : 165.98 = 95.78 : x
  2. Step 2: Convert to fraction form
    120.39/165.98 = 95.78/x
  3. Step 3: Cross multiply
    120.39x = 165.98 × 95.78
  4. Step 4: Simplify right side
    120.39x = 15,896.26
  5. Step 5: Solve for x
    x = 15,896.26/120.39
  6. Step 6: Final answer
    x = 132.04

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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.