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Finding the Fourth Proportional to 140.64, 193.96 and 105.76

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Solution

The fourth proportional to 140.64, 193.96 and 105.76 is: 145.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.64 : 193.96 = 105.76 : x
  2. Step 2: Convert to fraction form
    140.64/193.96 = 105.76/x
  3. Step 3: Cross multiply
    140.64x = 193.96 × 105.76
  4. Step 4: Simplify right side
    140.64x = 20,513.21
  5. Step 5: Solve for x
    x = 20,513.21/140.64
  6. Step 6: Final answer
    x = 145.86

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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.