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Finding the Fourth Proportional to 45.33, 68.00 and 17.91

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Solution

The fourth proportional to 45.33, 68.00 and 17.91 is: 26.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.33 : 68.00 = 17.91 : x
  2. Step 2: Convert to fraction form
    45.33/68.00 = 17.91/x
  3. Step 3: Cross multiply
    45.33x = 68.00 × 17.91
  4. Step 4: Simplify right side
    45.33x = 1,217.92
  5. Step 5: Solve for x
    x = 1,217.92/45.33
  6. Step 6: Final answer
    x = 26.87

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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.