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Finding the Fourth Proportional to 120.60, 166.43 and 71.48

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Solution

The fourth proportional to 120.60, 166.43 and 71.48 is: 98.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.60 : 166.43 = 71.48 : x
  2. Step 2: Convert to fraction form
    120.60/166.43 = 71.48/x
  3. Step 3: Cross multiply
    120.60x = 166.43 × 71.48
  4. Step 4: Simplify right side
    120.60x = 11,896.42
  5. Step 5: Solve for x
    x = 11,896.42/120.60
  6. Step 6: Final answer
    x = 98.64

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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.