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Finding the Fourth Proportional to 53.52, 73.85 and 31.68

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Solution

The fourth proportional to 53.52, 73.85 and 31.68 is: 43.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.52 : 73.85 = 31.68 : x
  2. Step 2: Convert to fraction form
    53.52/73.85 = 31.68/x
  3. Step 3: Cross multiply
    53.52x = 73.85 × 31.68
  4. Step 4: Simplify right side
    53.52x = 2,339.41
  5. Step 5: Solve for x
    x = 2,339.41/53.52
  6. Step 6: Final answer
    x = 43.71

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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.