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Finding the Fourth Proportional to 49.23, 67.91 and 32.66

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Solution

The fourth proportional to 49.23, 67.91 and 32.66 is: 45.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.23 : 67.91 = 32.66 : x
  2. Step 2: Convert to fraction form
    49.23/67.91 = 32.66/x
  3. Step 3: Cross multiply
    49.23x = 67.91 × 32.66
  4. Step 4: Simplify right side
    49.23x = 2,217.68
  5. Step 5: Solve for x
    x = 2,217.68/49.23
  6. Step 6: Final answer
    x = 45.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.