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Finding the Fourth Proportional to 142.33, 196.23 and 97.99

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Solution

The fourth proportional to 142.33, 196.23 and 97.99 is: 135.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.33 : 196.23 = 97.99 : x
  2. Step 2: Convert to fraction form
    142.33/196.23 = 97.99/x
  3. Step 3: Cross multiply
    142.33x = 196.23 × 97.99
  4. Step 4: Simplify right side
    142.33x = 19,227.60
  5. Step 5: Solve for x
    x = 19,227.60/142.33
  6. Step 6: Final answer
    x = 135.10

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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.