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Finding the Fourth Proportional to 142.96, 197.16 and 118.36

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Solution

The fourth proportional to 142.96, 197.16 and 118.36 is: 163.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.96 : 197.16 = 118.36 : x
  2. Step 2: Convert to fraction form
    142.96/197.16 = 118.36/x
  3. Step 3: Cross multiply
    142.96x = 197.16 × 118.36
  4. Step 4: Simplify right side
    142.96x = 23,335.86
  5. Step 5: Solve for x
    x = 23,335.86/142.96
  6. Step 6: Final answer
    x = 163.23

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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.