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Finding the Fourth Proportional to 137.47, 205.86 and 76.54

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Solution

The fourth proportional to 137.47, 205.86 and 76.54 is: 114.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.47 : 205.86 = 76.54 : x
  2. Step 2: Convert to fraction form
    137.47/205.86 = 76.54/x
  3. Step 3: Cross multiply
    137.47x = 205.86 × 76.54
  4. Step 4: Simplify right side
    137.47x = 15,756.52
  5. Step 5: Solve for x
    x = 15,756.52/137.47
  6. Step 6: Final answer
    x = 114.62

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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.