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Finding the Fourth Proportional to 142.27, 196.31 and 87.01

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Solution

The fourth proportional to 142.27, 196.31 and 87.01 is: 120.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.27 : 196.31 = 87.01 : x
  2. Step 2: Convert to fraction form
    142.27/196.31 = 87.01/x
  3. Step 3: Cross multiply
    142.27x = 196.31 × 87.01
  4. Step 4: Simplify right side
    142.27x = 17,079.52
  5. Step 5: Solve for x
    x = 17,079.52/142.27
  6. Step 6: Final answer
    x = 120.05

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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.