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Finding the Fourth Proportional to 53.68, 74.09 and 31.85

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Solution

The fourth proportional to 53.68, 74.09 and 31.85 is: 43.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.68 : 74.09 = 31.85 : x
  2. Step 2: Convert to fraction form
    53.68/74.09 = 31.85/x
  3. Step 3: Cross multiply
    53.68x = 74.09 × 31.85
  4. Step 4: Simplify right side
    53.68x = 2,359.24
  5. Step 5: Solve for x
    x = 2,359.24/53.68
  6. Step 6: Final answer
    x = 43.95

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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.