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Finding the Fourth Proportional to 135.54, 201.90 and 127.13

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Solution

The fourth proportional to 135.54, 201.90 and 127.13 is: 189.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.54 : 201.90 = 127.13 : x
  2. Step 2: Convert to fraction form
    135.54/201.90 = 127.13/x
  3. Step 3: Cross multiply
    135.54x = 201.90 × 127.13
  4. Step 4: Simplify right side
    135.54x = 25,668.22
  5. Step 5: Solve for x
    x = 25,668.22/135.54
  6. Step 6: Final answer
    x = 189.38

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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.