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Finding the Fourth Proportional to 66.94, 92.34 and 54.65

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Solution

The fourth proportional to 66.94, 92.34 and 54.65 is: 75.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.94 : 92.34 = 54.65 : x
  2. Step 2: Convert to fraction form
    66.94/92.34 = 54.65/x
  3. Step 3: Cross multiply
    66.94x = 92.34 × 54.65
  4. Step 4: Simplify right side
    66.94x = 5,046.61
  5. Step 5: Solve for x
    x = 5,046.61/66.94
  6. Step 6: Final answer
    x = 75.39

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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.