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Finding the Fourth Proportional to 142.63, 196.83 and 87.33

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Solution

The fourth proportional to 142.63, 196.83 and 87.33 is: 120.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.63 : 196.83 = 87.33 : x
  2. Step 2: Convert to fraction form
    142.63/196.83 = 87.33/x
  3. Step 3: Cross multiply
    142.63x = 196.83 × 87.33
  4. Step 4: Simplify right side
    142.63x = 17,188.18
  5. Step 5: Solve for x
    x = 17,188.18/142.63
  6. Step 6: Final answer
    x = 120.51

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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.