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Finding the Fourth Proportional to 52.97, 73.07 and 33.53

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Solution

The fourth proportional to 52.97, 73.07 and 33.53 is: 46.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.97 : 73.07 = 33.53 : x
  2. Step 2: Convert to fraction form
    52.97/73.07 = 33.53/x
  3. Step 3: Cross multiply
    52.97x = 73.07 × 33.53
  4. Step 4: Simplify right side
    52.97x = 2,449.87
  5. Step 5: Solve for x
    x = 2,449.87/52.97
  6. Step 6: Final answer
    x = 46.25

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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.