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Finding the Fourth Proportional to 120.16, 166.08 and 95.56

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Solution

The fourth proportional to 120.16, 166.08 and 95.56 is: 132.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.16 : 166.08 = 95.56 : x
  2. Step 2: Convert to fraction form
    120.16/166.08 = 95.56/x
  3. Step 3: Cross multiply
    120.16x = 166.08 × 95.56
  4. Step 4: Simplify right side
    120.16x = 15,870.60
  5. Step 5: Solve for x
    x = 15,870.60/120.16
  6. Step 6: Final answer
    x = 132.08

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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.