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Finding the Fourth Proportional to 140.20, 210.24 and 68.08

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Solution

The fourth proportional to 140.20, 210.24 and 68.08 is: 102.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.20 : 210.24 = 68.08 : x
  2. Step 2: Convert to fraction form
    140.20/210.24 = 68.08/x
  3. Step 3: Cross multiply
    140.20x = 210.24 × 68.08
  4. Step 4: Simplify right side
    140.20x = 14,313.14
  5. Step 5: Solve for x
    x = 14,313.14/140.20
  6. Step 6: Final answer
    x = 102.09

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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.