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Finding the Fourth Proportional to 140.76, 193.86 and 130.68

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Solution

The fourth proportional to 140.76, 193.86 and 130.68 is: 179.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.76 : 193.86 = 130.68 : x
  2. Step 2: Convert to fraction form
    140.76/193.86 = 130.68/x
  3. Step 3: Cross multiply
    140.76x = 193.86 × 130.68
  4. Step 4: Simplify right side
    140.76x = 25,333.62
  5. Step 5: Solve for x
    x = 25,333.62/140.76
  6. Step 6: Final answer
    x = 179.98

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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.