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Finding the Fourth Proportional to 53.46, 73.77 and 33.80

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Solution

The fourth proportional to 53.46, 73.77 and 33.80 is: 46.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.46 : 73.77 = 33.80 : x
  2. Step 2: Convert to fraction form
    53.46/73.77 = 33.80/x
  3. Step 3: Cross multiply
    53.46x = 73.77 × 33.80
  4. Step 4: Simplify right side
    53.46x = 2,493.06
  5. Step 5: Solve for x
    x = 2,493.06/53.46
  6. Step 6: Final answer
    x = 46.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.