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Finding the Fourth Proportional to 137.07, 188.03 and 135.25

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Solution

The fourth proportional to 137.07, 188.03 and 135.25 is: 185.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.07 : 188.03 = 135.25 : x
  2. Step 2: Convert to fraction form
    137.07/188.03 = 135.25/x
  3. Step 3: Cross multiply
    137.07x = 188.03 × 135.25
  4. Step 4: Simplify right side
    137.07x = 25,431.06
  5. Step 5: Solve for x
    x = 25,431.06/137.07
  6. Step 6: Final answer
    x = 185.53

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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.