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Finding the Fourth Proportional to 142.74, 197 and 87.48

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Solution

The fourth proportional to 142.74, 197 and 87.48 is: 120.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.74 : 197 = 87.48 : x
  2. Step 2: Convert to fraction form
    142.74/197 = 87.48/x
  3. Step 3: Cross multiply
    142.74x = 197 × 87.48
  4. Step 4: Simplify right side
    142.74x = 17,233.56
  5. Step 5: Solve for x
    x = 17,233.56/142.74
  6. Step 6: Final answer
    x = 120.73

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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.