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Finding the Fourth Proportional to 137.57, 205.90 and 114.79

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Solution

The fourth proportional to 137.57, 205.90 and 114.79 is: 171.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.57 : 205.90 = 114.79 : x
  2. Step 2: Convert to fraction form
    137.57/205.90 = 114.79/x
  3. Step 3: Cross multiply
    137.57x = 205.90 × 114.79
  4. Step 4: Simplify right side
    137.57x = 23,634.46
  5. Step 5: Solve for x
    x = 23,634.46/137.57
  6. Step 6: Final answer
    x = 171.80

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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.