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Finding the Fourth Proportional to 129.44, 193.96 and 103.84

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Solution

The fourth proportional to 129.44, 193.96 and 103.84 is: 155.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.44 : 193.96 = 103.84 : x
  2. Step 2: Convert to fraction form
    129.44/193.96 = 103.84/x
  3. Step 3: Cross multiply
    129.44x = 193.96 × 103.84
  4. Step 4: Simplify right side
    129.44x = 20,140.81
  5. Step 5: Solve for x
    x = 20,140.81/129.44
  6. Step 6: Final answer
    x = 155.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.