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Finding the Fourth Proportional to 129.21, 193.65 and 71.43

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Solution

The fourth proportional to 129.21, 193.65 and 71.43 is: 107.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.21 : 193.65 = 71.43 : x
  2. Step 2: Convert to fraction form
    129.21/193.65 = 71.43/x
  3. Step 3: Cross multiply
    129.21x = 193.65 × 71.43
  4. Step 4: Simplify right side
    129.21x = 13,832.42
  5. Step 5: Solve for x
    x = 13,832.42/129.21
  6. Step 6: Final answer
    x = 107.05

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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.