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Finding the Fourth Proportional to 53.54, 73.82 and 37.97

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Solution

The fourth proportional to 53.54, 73.82 and 37.97 is: 52.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.54 : 73.82 = 37.97 : x
  2. Step 2: Convert to fraction form
    53.54/73.82 = 37.97/x
  3. Step 3: Cross multiply
    53.54x = 73.82 × 37.97
  4. Step 4: Simplify right side
    53.54x = 2,802.39
  5. Step 5: Solve for x
    x = 2,802.39/53.54
  6. Step 6: Final answer
    x = 52.35

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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.