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Finding the Fourth Proportional to 142.62, 196.64 and 87.34

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Solution

The fourth proportional to 142.62, 196.64 and 87.34 is: 120.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.62 : 196.64 = 87.34 : x
  2. Step 2: Convert to fraction form
    142.62/196.64 = 87.34/x
  3. Step 3: Cross multiply
    142.62x = 196.64 × 87.34
  4. Step 4: Simplify right side
    142.62x = 17,174.54
  5. Step 5: Solve for x
    x = 17,174.54/142.62
  6. Step 6: Final answer
    x = 120.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.