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Finding the Fourth Proportional to 120.33, 165.96 and 85.28

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Solution

The fourth proportional to 120.33, 165.96 and 85.28 is: 117.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.33 : 165.96 = 85.28 : x
  2. Step 2: Convert to fraction form
    120.33/165.96 = 85.28/x
  3. Step 3: Cross multiply
    120.33x = 165.96 × 85.28
  4. Step 4: Simplify right side
    120.33x = 14,152.24
  5. Step 5: Solve for x
    x = 14,152.24/120.33
  6. Step 6: Final answer
    x = 117.61

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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.