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Finding the Fourth Proportional to 142.37, 196.37 and 87.05

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Solution

The fourth proportional to 142.37, 196.37 and 87.05 is: 120.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.37 : 196.37 = 87.05 : x
  2. Step 2: Convert to fraction form
    142.37/196.37 = 87.05/x
  3. Step 3: Cross multiply
    142.37x = 196.37 × 87.05
  4. Step 4: Simplify right side
    142.37x = 17,093.03
  5. Step 5: Solve for x
    x = 17,093.03/142.37
  6. Step 6: Final answer
    x = 120.06

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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.