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Finding the Fourth Proportional to 142.74, 196.83 and 128.21

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Solution

The fourth proportional to 142.74, 196.83 and 128.21 is: 176.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.74 : 196.83 = 128.21 : x
  2. Step 2: Convert to fraction form
    142.74/196.83 = 128.21/x
  3. Step 3: Cross multiply
    142.74x = 196.83 × 128.21
  4. Step 4: Simplify right side
    142.74x = 25,235.14
  5. Step 5: Solve for x
    x = 25,235.14/142.74
  6. Step 6: Final answer
    x = 176.79

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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.