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Finding the Fourth Proportional to 140.30, 193.84 and 109.34

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Solution

The fourth proportional to 140.30, 193.84 and 109.34 is: 151.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.30 : 193.84 = 109.34 : x
  2. Step 2: Convert to fraction form
    140.30/193.84 = 109.34/x
  3. Step 3: Cross multiply
    140.30x = 193.84 × 109.34
  4. Step 4: Simplify right side
    140.30x = 21,194.47
  5. Step 5: Solve for x
    x = 21,194.47/140.30
  6. Step 6: Final answer
    x = 151.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.