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Finding the Fourth Proportional to 120.66, 166.40 and 98.80

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Solution

The fourth proportional to 120.66, 166.40 and 98.80 is: 136.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.66 : 166.40 = 98.80 : x
  2. Step 2: Convert to fraction form
    120.66/166.40 = 98.80/x
  3. Step 3: Cross multiply
    120.66x = 166.40 × 98.80
  4. Step 4: Simplify right side
    120.66x = 16,440.32
  5. Step 5: Solve for x
    x = 16,440.32/120.66
  6. Step 6: Final answer
    x = 136.25

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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.