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Finding the Fourth Proportional to 142.10, 212.75 and 120.44

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Solution

The fourth proportional to 142.10, 212.75 and 120.44 is: 180.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.10 : 212.75 = 120.44 : x
  2. Step 2: Convert to fraction form
    142.10/212.75 = 120.44/x
  3. Step 3: Cross multiply
    142.10x = 212.75 × 120.44
  4. Step 4: Simplify right side
    142.10x = 25,621.94
  5. Step 5: Solve for x
    x = 25,621.94/142.10
  6. Step 6: Final answer
    x = 180.31

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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.