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Finding the Fourth Proportional to 53.38, 73.65 and 37.84

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Solution

The fourth proportional to 53.38, 73.65 and 37.84 is: 52.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.38 : 73.65 = 37.84 : x
  2. Step 2: Convert to fraction form
    53.38/73.65 = 37.84/x
  3. Step 3: Cross multiply
    53.38x = 73.65 × 37.84
  4. Step 4: Simplify right side
    53.38x = 2,786.92
  5. Step 5: Solve for x
    x = 2,786.92/53.38
  6. Step 6: Final answer
    x = 52.21

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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.