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Finding the Fourth Proportional to 140.20, 210.22 and 71.64

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Solution

The fourth proportional to 140.20, 210.22 and 71.64 is: 107.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.20 : 210.22 = 71.64 : x
  2. Step 2: Convert to fraction form
    140.20/210.22 = 71.64/x
  3. Step 3: Cross multiply
    140.20x = 210.22 × 71.64
  4. Step 4: Simplify right side
    140.20x = 15,059.98
  5. Step 5: Solve for x
    x = 15,059.98/140.20
  6. Step 6: Final answer
    x = 107.42

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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.