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Finding the Fourth Proportional to 142.96, 197.29 and 106.17

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Solution

The fourth proportional to 142.96, 197.29 and 106.17 is: 146.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.96 : 197.29 = 106.17 : x
  2. Step 2: Convert to fraction form
    142.96/197.29 = 106.17/x
  3. Step 3: Cross multiply
    142.96x = 197.29 × 106.17
  4. Step 4: Simplify right side
    142.96x = 20,945.75
  5. Step 5: Solve for x
    x = 20,945.75/142.96
  6. Step 6: Final answer
    x = 146.51

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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.