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Finding the Fourth Proportional to 53.60, 73.99 and 33.71

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Solution

The fourth proportional to 53.60, 73.99 and 33.71 is: 46.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.60 : 73.99 = 33.71 : x
  2. Step 2: Convert to fraction form
    53.60/73.99 = 33.71/x
  3. Step 3: Cross multiply
    53.60x = 73.99 × 33.71
  4. Step 4: Simplify right side
    53.60x = 2,493.75
  5. Step 5: Solve for x
    x = 2,493.75/53.60
  6. Step 6: Final answer
    x = 46.52

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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.