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Finding the Fourth Proportional to 135.97, 204 and 75.13

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Solution

The fourth proportional to 135.97, 204 and 75.13 is: 112.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.97 : 204 = 75.13 : x
  2. Step 2: Convert to fraction form
    135.97/204 = 75.13/x
  3. Step 3: Cross multiply
    135.97x = 204 × 75.13
  4. Step 4: Simplify right side
    135.97x = 15,326.52
  5. Step 5: Solve for x
    x = 15,326.52/135.97
  6. Step 6: Final answer
    x = 112.72

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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.