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Finding the Fourth Proportional to 142.92, 197.16 and 106.02

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Solution

The fourth proportional to 142.92, 197.16 and 106.02 is: 146.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.92 : 197.16 = 106.02 : x
  2. Step 2: Convert to fraction form
    142.92/197.16 = 106.02/x
  3. Step 3: Cross multiply
    142.92x = 197.16 × 106.02
  4. Step 4: Simplify right side
    142.92x = 20,902.90
  5. Step 5: Solve for x
    x = 20,902.90/142.92
  6. Step 6: Final answer
    x = 146.26

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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.