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Finding the Fourth Proportional to 45.09, 67.64 and 14.65

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Solution

The fourth proportional to 45.09, 67.64 and 14.65 is: 21.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.09 : 67.64 = 14.65 : x
  2. Step 2: Convert to fraction form
    45.09/67.64 = 14.65/x
  3. Step 3: Cross multiply
    45.09x = 67.64 × 14.65
  4. Step 4: Simplify right side
    45.09x = 990.68
  5. Step 5: Solve for x
    x = 990.68/45.09
  6. Step 6: Final answer
    x = 21.97

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Why These Related Problems?

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