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Finding the Fourth Proportional to 142.49, 196.62 and 83.47

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Solution

The fourth proportional to 142.49, 196.62 and 83.47 is: 115.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.49 : 196.62 = 83.47 : x
  2. Step 2: Convert to fraction form
    142.49/196.62 = 83.47/x
  3. Step 3: Cross multiply
    142.49x = 196.62 × 83.47
  4. Step 4: Simplify right side
    142.49x = 16,411.66
  5. Step 5: Solve for x
    x = 16,411.66/142.49
  6. Step 6: Final answer
    x = 115.18

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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.