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Finding the Fourth Proportional to 120.34, 166.22 and 91.36

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Solution

The fourth proportional to 120.34, 166.22 and 91.36 is: 126.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.34 : 166.22 = 91.36 : x
  2. Step 2: Convert to fraction form
    120.34/166.22 = 91.36/x
  3. Step 3: Cross multiply
    120.34x = 166.22 × 91.36
  4. Step 4: Simplify right side
    120.34x = 15,185.86
  5. Step 5: Solve for x
    x = 15,185.86/120.34
  6. Step 6: Final answer
    x = 126.19

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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.