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Finding the Fourth Proportional to 53.56, 80.35 and 31.91

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Solution

The fourth proportional to 53.56, 80.35 and 31.91 is: 47.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.56 : 80.35 = 31.91 : x
  2. Step 2: Convert to fraction form
    53.56/80.35 = 31.91/x
  3. Step 3: Cross multiply
    53.56x = 80.35 × 31.91
  4. Step 4: Simplify right side
    53.56x = 2,564.21
  5. Step 5: Solve for x
    x = 2,564.21/53.56
  6. Step 6: Final answer
    x = 47.87

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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.