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Finding the Fourth Proportional to 120.12, 180.23 and 59.31

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Solution

The fourth proportional to 120.12, 180.23 and 59.31 is: 88.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.12 : 180.23 = 59.31 : x
  2. Step 2: Convert to fraction form
    120.12/180.23 = 59.31/x
  3. Step 3: Cross multiply
    120.12x = 180.23 × 59.31
  4. Step 4: Simplify right side
    120.12x = 10,689.44
  5. Step 5: Solve for x
    x = 10,689.44/120.12
  6. Step 6: Final answer
    x = 88.99

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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.