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Finding the Fourth Proportional to 45.64, 68.49 and 22.80

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Solution

The fourth proportional to 45.64, 68.49 and 22.80 is: 34.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.64 : 68.49 = 22.80 : x
  2. Step 2: Convert to fraction form
    45.64/68.49 = 22.80/x
  3. Step 3: Cross multiply
    45.64x = 68.49 × 22.80
  4. Step 4: Simplify right side
    45.64x = 1,561.57
  5. Step 5: Solve for x
    x = 1,561.57/45.64
  6. Step 6: Final answer
    x = 34.21

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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.