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Finding the Fourth Proportional to 140.05, 193.76 and 130.33

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Solution

The fourth proportional to 140.05, 193.76 and 130.33 is: 180.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.05 : 193.76 = 130.33 : x
  2. Step 2: Convert to fraction form
    140.05/193.76 = 130.33/x
  3. Step 3: Cross multiply
    140.05x = 193.76 × 130.33
  4. Step 4: Simplify right side
    140.05x = 25,252.74
  5. Step 5: Solve for x
    x = 25,252.74/140.05
  6. Step 6: Final answer
    x = 180.31

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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.