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Finding the Fourth Proportional to 142.82, 197.09 and 77.32

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Solution

The fourth proportional to 142.82, 197.09 and 77.32 is: 106.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.82 : 197.09 = 77.32 : x
  2. Step 2: Convert to fraction form
    142.82/197.09 = 77.32/x
  3. Step 3: Cross multiply
    142.82x = 197.09 × 77.32
  4. Step 4: Simplify right side
    142.82x = 15,239.30
  5. Step 5: Solve for x
    x = 15,239.30/142.82
  6. Step 6: Final answer
    x = 106.70

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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.