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Finding the Fourth Proportional to 142.31, 196.25 and 97.55

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Solution

The fourth proportional to 142.31, 196.25 and 97.55 is: 134.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.31 : 196.25 = 97.55 : x
  2. Step 2: Convert to fraction form
    142.31/196.25 = 97.55/x
  3. Step 3: Cross multiply
    142.31x = 196.25 × 97.55
  4. Step 4: Simplify right side
    142.31x = 19,144.19
  5. Step 5: Solve for x
    x = 19,144.19/142.31
  6. Step 6: Final answer
    x = 134.52

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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.