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Finding the Fourth Proportional to 53.93, 74.36 and 37.55

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Solution

The fourth proportional to 53.93, 74.36 and 37.55 is: 51.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.93 : 74.36 = 37.55 : x
  2. Step 2: Convert to fraction form
    53.93/74.36 = 37.55/x
  3. Step 3: Cross multiply
    53.93x = 74.36 × 37.55
  4. Step 4: Simplify right side
    53.93x = 2,791.66
  5. Step 5: Solve for x
    x = 2,791.66/53.93
  6. Step 6: Final answer
    x = 51.77

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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.