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Finding the Fourth Proportional to 140, 193.24 and 105.60

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Solution

The fourth proportional to 140, 193.24 and 105.60 is: 145.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    140 : 193.24 = 105.60 : x
  2. Step 2: Convert to fraction form
    140/193.24 = 105.60/x
  3. Step 3: Cross multiply
    140x = 193.24 × 105.60
  4. Step 4: Simplify right side
    140x = 20,406.14
  5. Step 5: Solve for x
    x = 20,406.14/140
  6. Step 6: Final answer
    x = 145.76

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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.