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Finding the Fourth Proportional to 137.23, 205.84 and 76.31

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Solution

The fourth proportional to 137.23, 205.84 and 76.31 is: 114.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.23 : 205.84 = 76.31 : x
  2. Step 2: Convert to fraction form
    137.23/205.84 = 76.31/x
  3. Step 3: Cross multiply
    137.23x = 205.84 × 76.31
  4. Step 4: Simplify right side
    137.23x = 15,707.65
  5. Step 5: Solve for x
    x = 15,707.65/137.23
  6. Step 6: Final answer
    x = 114.46

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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.