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Finding the Fourth Proportional to 137.37, 205.86 and 117.76

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Solution

The fourth proportional to 137.37, 205.86 and 117.76 is: 176.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.37 : 205.86 = 117.76 : x
  2. Step 2: Convert to fraction form
    137.37/205.86 = 117.76/x
  3. Step 3: Cross multiply
    137.37x = 205.86 × 117.76
  4. Step 4: Simplify right side
    137.37x = 24,243.56
  5. Step 5: Solve for x
    x = 24,243.56/137.37
  6. Step 6: Final answer
    x = 176.48

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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.