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Finding the Fourth Proportional to 53.10, 73.27 and 37.56

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Solution

The fourth proportional to 53.10, 73.27 and 37.56 is: 51.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.10 : 73.27 = 37.56 : x
  2. Step 2: Convert to fraction form
    53.10/73.27 = 37.56/x
  3. Step 3: Cross multiply
    53.10x = 73.27 × 37.56
  4. Step 4: Simplify right side
    53.10x = 2,752.02
  5. Step 5: Solve for x
    x = 2,752.02/53.10
  6. Step 6: Final answer
    x = 51.83

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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.