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Finding the Fourth Proportional to 120.12, 180.26 and 59.28

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Solution

The fourth proportional to 120.12, 180.26 and 59.28 is: 88.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.12 : 180.26 = 59.28 : x
  2. Step 2: Convert to fraction form
    120.12/180.26 = 59.28/x
  3. Step 3: Cross multiply
    120.12x = 180.26 × 59.28
  4. Step 4: Simplify right side
    120.12x = 10,685.52
  5. Step 5: Solve for x
    x = 10,685.52/120.12
  6. Step 6: Final answer
    x = 88.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.