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Finding the Fourth Proportional to 129.27, 193.59 and 75.00

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Solution

The fourth proportional to 129.27, 193.59 and 75.00 is: 112.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.27 : 193.59 = 75.00 : x
  2. Step 2: Convert to fraction form
    129.27/193.59 = 75.00/x
  3. Step 3: Cross multiply
    129.27x = 193.59 × 75.00
  4. Step 4: Simplify right side
    129.27x = 14,519.98
  5. Step 5: Solve for x
    x = 14,519.98/129.27
  6. Step 6: Final answer
    x = 112.32

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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.