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Finding the Fourth Proportional to 120.97, 166.62 and 93.34

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Solution

The fourth proportional to 120.97, 166.62 and 93.34 is: 128.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.97 : 166.62 = 93.34 : x
  2. Step 2: Convert to fraction form
    120.97/166.62 = 93.34/x
  3. Step 3: Cross multiply
    120.97x = 166.62 × 93.34
  4. Step 4: Simplify right side
    120.97x = 15,552.31
  5. Step 5: Solve for x
    x = 15,552.31/120.97
  6. Step 6: Final answer
    x = 128.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.