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Finding the Fourth Proportional to 53.24, 73.44 and 33.84

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Solution

The fourth proportional to 53.24, 73.44 and 33.84 is: 46.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.24 : 73.44 = 33.84 : x
  2. Step 2: Convert to fraction form
    53.24/73.44 = 33.84/x
  3. Step 3: Cross multiply
    53.24x = 73.44 × 33.84
  4. Step 4: Simplify right side
    53.24x = 2,485.21
  5. Step 5: Solve for x
    x = 2,485.21/53.24
  6. Step 6: Final answer
    x = 46.68

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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.