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Finding the Fourth Proportional to 53.38, 73.57 and 37.82

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Solution

The fourth proportional to 53.38, 73.57 and 37.82 is: 52.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.38 : 73.57 = 37.82 : x
  2. Step 2: Convert to fraction form
    53.38/73.57 = 37.82/x
  3. Step 3: Cross multiply
    53.38x = 73.57 × 37.82
  4. Step 4: Simplify right side
    53.38x = 2,782.42
  5. Step 5: Solve for x
    x = 2,782.42/53.38
  6. Step 6: Final answer
    x = 52.12

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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.