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Finding the Fourth Proportional to 137.68, 206.47 and 45.11

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Solution

The fourth proportional to 137.68, 206.47 and 45.11 is: 67.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.68 : 206.47 = 45.11 : x
  2. Step 2: Convert to fraction form
    137.68/206.47 = 45.11/x
  3. Step 3: Cross multiply
    137.68x = 206.47 × 45.11
  4. Step 4: Simplify right side
    137.68x = 9,313.02
  5. Step 5: Solve for x
    x = 9,313.02/137.68
  6. Step 6: Final answer
    x = 67.64

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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.