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Finding the Fourth Proportional to 137.59, 205.84 and 114.81

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Solution

The fourth proportional to 137.59, 205.84 and 114.81 is: 171.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.59 : 205.84 = 114.81 : x
  2. Step 2: Convert to fraction form
    137.59/205.84 = 114.81/x
  3. Step 3: Cross multiply
    137.59x = 205.84 × 114.81
  4. Step 4: Simplify right side
    137.59x = 23,632.49
  5. Step 5: Solve for x
    x = 23,632.49/137.59
  6. Step 6: Final answer
    x = 171.76

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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.