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Finding the Fourth Proportional to 120.26, 165.97 and 85.31

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Solution

The fourth proportional to 120.26, 165.97 and 85.31 is: 117.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.26 : 165.97 = 85.31 : x
  2. Step 2: Convert to fraction form
    120.26/165.97 = 85.31/x
  3. Step 3: Cross multiply
    120.26x = 165.97 × 85.31
  4. Step 4: Simplify right side
    120.26x = 14,157.86
  5. Step 5: Solve for x
    x = 14,157.86/120.26
  6. Step 6: Final answer
    x = 117.72

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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.