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Finding the Fourth Proportional to 135.99, 204.09 and 75.21

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Solution

The fourth proportional to 135.99, 204.09 and 75.21 is: 112.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.99 : 204.09 = 75.21 : x
  2. Step 2: Convert to fraction form
    135.99/204.09 = 75.21/x
  3. Step 3: Cross multiply
    135.99x = 204.09 × 75.21
  4. Step 4: Simplify right side
    135.99x = 15,349.61
  5. Step 5: Solve for x
    x = 15,349.61/135.99
  6. Step 6: Final answer
    x = 112.87

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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.