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Finding the Fourth Proportional to 53.96, 80.91 and 31.14

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Solution

The fourth proportional to 53.96, 80.91 and 31.14 is: 46.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.96 : 80.91 = 31.14 : x
  2. Step 2: Convert to fraction form
    53.96/80.91 = 31.14/x
  3. Step 3: Cross multiply
    53.96x = 80.91 × 31.14
  4. Step 4: Simplify right side
    53.96x = 2,519.54
  5. Step 5: Solve for x
    x = 2,519.54/53.96
  6. Step 6: Final answer
    x = 46.70

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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.