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Finding the Fourth Proportional to 67.70, 93.49 and 53.98

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Solution

The fourth proportional to 67.70, 93.49 and 53.98 is: 74.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.70 : 93.49 = 53.98 : x
  2. Step 2: Convert to fraction form
    67.70/93.49 = 53.98/x
  3. Step 3: Cross multiply
    67.70x = 93.49 × 53.98
  4. Step 4: Simplify right side
    67.70x = 5,046.56
  5. Step 5: Solve for x
    x = 5,046.56/67.70
  6. Step 6: Final answer
    x = 74.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.