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Finding the Fourth Proportional to 143.24, 197.52 and 106.34

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Solution

The fourth proportional to 143.24, 197.52 and 106.34 is: 146.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.24 : 197.52 = 106.34 : x
  2. Step 2: Convert to fraction form
    143.24/197.52 = 106.34/x
  3. Step 3: Cross multiply
    143.24x = 197.52 × 106.34
  4. Step 4: Simplify right side
    143.24x = 21,004.28
  5. Step 5: Solve for x
    x = 21,004.28/143.24
  6. Step 6: Final answer
    x = 146.64

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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.