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Finding the Fourth Proportional to 142.36, 213.64 and 106.31

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Solution

The fourth proportional to 142.36, 213.64 and 106.31 is: 159.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.36 : 213.64 = 106.31 : x
  2. Step 2: Convert to fraction form
    142.36/213.64 = 106.31/x
  3. Step 3: Cross multiply
    142.36x = 213.64 × 106.31
  4. Step 4: Simplify right side
    142.36x = 22,712.34
  5. Step 5: Solve for x
    x = 22,712.34/142.36
  6. Step 6: Final answer
    x = 159.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.