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Finding the Fourth Proportional to 135.38, 185.57 and 135.14

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Solution

The fourth proportional to 135.38, 185.57 and 135.14 is: 185.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.38 : 185.57 = 135.14 : x
  2. Step 2: Convert to fraction form
    135.38/185.57 = 135.14/x
  3. Step 3: Cross multiply
    135.38x = 185.57 × 135.14
  4. Step 4: Simplify right side
    135.38x = 25,076.33
  5. Step 5: Solve for x
    x = 25,076.33/135.38
  6. Step 6: Final answer
    x = 185.24

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.