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Finding the Fourth Proportional to 137.23, 205.58 and 76.39

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Solution

The fourth proportional to 137.23, 205.58 and 76.39 is: 114.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.23 : 205.58 = 76.39 : x
  2. Step 2: Convert to fraction form
    137.23/205.58 = 76.39/x
  3. Step 3: Cross multiply
    137.23x = 205.58 × 76.39
  4. Step 4: Simplify right side
    137.23x = 15,703.93
  5. Step 5: Solve for x
    x = 15,703.93/137.23
  6. Step 6: Final answer
    x = 114.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.