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Finding the Fourth Proportional to 120.56, 166.30 and 104.03

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Solution

The fourth proportional to 120.56, 166.30 and 104.03 is: 143.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.56 : 166.30 = 104.03 : x
  2. Step 2: Convert to fraction form
    120.56/166.30 = 104.03/x
  3. Step 3: Cross multiply
    120.56x = 166.30 × 104.03
  4. Step 4: Simplify right side
    120.56x = 17,300.19
  5. Step 5: Solve for x
    x = 17,300.19/120.56
  6. Step 6: Final answer
    x = 143.50

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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.