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Finding the Fourth Proportional to 53.21, 73.40 and 33.82

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Solution

The fourth proportional to 53.21, 73.40 and 33.82 is: 46.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.21 : 73.40 = 33.82 : x
  2. Step 2: Convert to fraction form
    53.21/73.40 = 33.82/x
  3. Step 3: Cross multiply
    53.21x = 73.40 × 33.82
  4. Step 4: Simplify right side
    53.21x = 2,482.02
  5. Step 5: Solve for x
    x = 2,482.02/53.21
  6. Step 6: Final answer
    x = 46.65

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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.