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Finding the Fourth Proportional to 53.42, 80.20 and 45.44

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Solution

The fourth proportional to 53.42, 80.20 and 45.44 is: 68.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.42 : 80.20 = 45.44 : x
  2. Step 2: Convert to fraction form
    53.42/80.20 = 45.44/x
  3. Step 3: Cross multiply
    53.42x = 80.20 × 45.44
  4. Step 4: Simplify right side
    53.42x = 3,644.29
  5. Step 5: Solve for x
    x = 3,644.29/53.42
  6. Step 6: Final answer
    x = 68.22

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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.