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Finding the Fourth Proportional to 137.24, 205.85 and 34.53

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Solution

The fourth proportional to 137.24, 205.85 and 34.53 is: 51.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.24 : 205.85 = 34.53 : x
  2. Step 2: Convert to fraction form
    137.24/205.85 = 34.53/x
  3. Step 3: Cross multiply
    137.24x = 205.85 × 34.53
  4. Step 4: Simplify right side
    137.24x = 7,106.97
  5. Step 5: Solve for x
    x = 7,106.97/137.24
  6. Step 6: Final answer
    x = 51.79

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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.