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Finding the Fourth Proportional to 140.08, 209.58 and 82.35

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Solution

The fourth proportional to 140.08, 209.58 and 82.35 is: 123.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.08 : 209.58 = 82.35 : x
  2. Step 2: Convert to fraction form
    140.08/209.58 = 82.35/x
  3. Step 3: Cross multiply
    140.08x = 209.58 × 82.35
  4. Step 4: Simplify right side
    140.08x = 17,258.91
  5. Step 5: Solve for x
    x = 17,258.91/140.08
  6. Step 6: Final answer
    x = 123.21

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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.