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Finding the Fourth Proportional to 140.12, 209.83 and 117.24

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Solution

The fourth proportional to 140.12, 209.83 and 117.24 is: 175.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.12 : 209.83 = 117.24 : x
  2. Step 2: Convert to fraction form
    140.12/209.83 = 117.24/x
  3. Step 3: Cross multiply
    140.12x = 209.83 × 117.24
  4. Step 4: Simplify right side
    140.12x = 24,599.62
  5. Step 5: Solve for x
    x = 24,599.62/140.12
  6. Step 6: Final answer
    x = 175.56

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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.