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Finding the Fourth Proportional to 142.32, 213.08 and 108.22

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Solution

The fourth proportional to 142.32, 213.08 and 108.22 is: 162.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.32 : 213.08 = 108.22 : x
  2. Step 2: Convert to fraction form
    142.32/213.08 = 108.22/x
  3. Step 3: Cross multiply
    142.32x = 213.08 × 108.22
  4. Step 4: Simplify right side
    142.32x = 23,059.52
  5. Step 5: Solve for x
    x = 23,059.52/142.32
  6. Step 6: Final answer
    x = 162.03

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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.