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Finding the Fourth Proportional to 53.45, 80.12 and 20.93

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Solution

The fourth proportional to 53.45, 80.12 and 20.93 is: 31.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.45 : 80.12 = 20.93 : x
  2. Step 2: Convert to fraction form
    53.45/80.12 = 20.93/x
  3. Step 3: Cross multiply
    53.45x = 80.12 × 20.93
  4. Step 4: Simplify right side
    53.45x = 1,676.41
  5. Step 5: Solve for x
    x = 1,676.41/53.45
  6. Step 6: Final answer
    x = 31.37

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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.