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Finding the Fourth Proportional to 53.45, 73.72 and 37.91

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Solution

The fourth proportional to 53.45, 73.72 and 37.91 is: 52.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.45 : 73.72 = 37.91 : x
  2. Step 2: Convert to fraction form
    53.45/73.72 = 37.91/x
  3. Step 3: Cross multiply
    53.45x = 73.72 × 37.91
  4. Step 4: Simplify right side
    53.45x = 2,794.73
  5. Step 5: Solve for x
    x = 2,794.73/53.45
  6. Step 6: Final answer
    x = 52.29

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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.