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Finding the Fourth Proportional to 67.80, 93.47 and 49.31

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Solution

The fourth proportional to 67.80, 93.47 and 49.31 is: 67.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.80 : 93.47 = 49.31 : x
  2. Step 2: Convert to fraction form
    67.80/93.47 = 49.31/x
  3. Step 3: Cross multiply
    67.80x = 93.47 × 49.31
  4. Step 4: Simplify right side
    67.80x = 4,608.29
  5. Step 5: Solve for x
    x = 4,608.29/67.80
  6. Step 6: Final answer
    x = 67.97

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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.