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Finding the Fourth Proportional to 53.54, 73.88 and 33.90

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Solution

The fourth proportional to 53.54, 73.88 and 33.90 is: 46.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.54 : 73.88 = 33.90 : x
  2. Step 2: Convert to fraction form
    53.54/73.88 = 33.90/x
  3. Step 3: Cross multiply
    53.54x = 73.88 × 33.90
  4. Step 4: Simplify right side
    53.54x = 2,504.53
  5. Step 5: Solve for x
    x = 2,504.53/53.54
  6. Step 6: Final answer
    x = 46.78

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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.