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Finding the Fourth Proportional to 137.45, 206.25 and 56.27

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Solution

The fourth proportional to 137.45, 206.25 and 56.27 is: 84.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.45 : 206.25 = 56.27 : x
  2. Step 2: Convert to fraction form
    137.45/206.25 = 56.27/x
  3. Step 3: Cross multiply
    137.45x = 206.25 × 56.27
  4. Step 4: Simplify right side
    137.45x = 11,605.69
  5. Step 5: Solve for x
    x = 11,605.69/137.45
  6. Step 6: Final answer
    x = 84.44

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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.