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Finding the Fourth Proportional to 135.53, 201.92 and 127.25

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Solution

The fourth proportional to 135.53, 201.92 and 127.25 is: 189.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.53 : 201.92 = 127.25 : x
  2. Step 2: Convert to fraction form
    135.53/201.92 = 127.25/x
  3. Step 3: Cross multiply
    135.53x = 201.92 × 127.25
  4. Step 4: Simplify right side
    135.53x = 25,694.32
  5. Step 5: Solve for x
    x = 25,694.32/135.53
  6. Step 6: Final answer
    x = 189.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.