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Finding the Fourth Proportional to 53.66, 80.50 and 30.82

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Solution

The fourth proportional to 53.66, 80.50 and 30.82 is: 46.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.66 : 80.50 = 30.82 : x
  2. Step 2: Convert to fraction form
    53.66/80.50 = 30.82/x
  3. Step 3: Cross multiply
    53.66x = 80.50 × 30.82
  4. Step 4: Simplify right side
    53.66x = 2,481.17
  5. Step 5: Solve for x
    x = 2,481.17/53.66
  6. Step 6: Final answer
    x = 46.24

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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.