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Finding the Fourth Proportional to 142.56, 196.80 and 95.97

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Solution

The fourth proportional to 142.56, 196.80 and 95.97 is: 132.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.56 : 196.80 = 95.97 : x
  2. Step 2: Convert to fraction form
    142.56/196.80 = 95.97/x
  3. Step 3: Cross multiply
    142.56x = 196.80 × 95.97
  4. Step 4: Simplify right side
    142.56x = 18,886.90
  5. Step 5: Solve for x
    x = 18,886.90/142.56
  6. Step 6: Final answer
    x = 132.48

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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.