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Finding the Fourth Proportional to 142.70, 196.82 and 98.42

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Solution

The fourth proportional to 142.70, 196.82 and 98.42 is: 135.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.70 : 196.82 = 98.42 : x
  2. Step 2: Convert to fraction form
    142.70/196.82 = 98.42/x
  3. Step 3: Cross multiply
    142.70x = 196.82 × 98.42
  4. Step 4: Simplify right side
    142.70x = 19,371.02
  5. Step 5: Solve for x
    x = 19,371.02/142.70
  6. Step 6: Final answer
    x = 135.75

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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.