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Finding the Fourth Proportional to 137.38, 205.90 and 65.08

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Solution

The fourth proportional to 137.38, 205.90 and 65.08 is: 97.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.38 : 205.90 = 65.08 : x
  2. Step 2: Convert to fraction form
    137.38/205.90 = 65.08/x
  3. Step 3: Cross multiply
    137.38x = 205.90 × 65.08
  4. Step 4: Simplify right side
    137.38x = 13,399.97
  5. Step 5: Solve for x
    x = 13,399.97/137.38
  6. Step 6: Final answer
    x = 97.54

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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.