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Finding the Fourth Proportional to 142.05, 196.15 and 97.86

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Solution

The fourth proportional to 142.05, 196.15 and 97.86 is: 135.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.05 : 196.15 = 97.86 : x
  2. Step 2: Convert to fraction form
    142.05/196.15 = 97.86/x
  3. Step 3: Cross multiply
    142.05x = 196.15 × 97.86
  4. Step 4: Simplify right side
    142.05x = 19,195.24
  5. Step 5: Solve for x
    x = 19,195.24/142.05
  6. Step 6: Final answer
    x = 135.13

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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.