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Finding the Fourth Proportional to 68.43, 94.19 and 53.85

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Solution

The fourth proportional to 68.43, 94.19 and 53.85 is: 74.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.43 : 94.19 = 53.85 : x
  2. Step 2: Convert to fraction form
    68.43/94.19 = 53.85/x
  3. Step 3: Cross multiply
    68.43x = 94.19 × 53.85
  4. Step 4: Simplify right side
    68.43x = 5,071.86
  5. Step 5: Solve for x
    x = 5,071.86/68.43
  6. Step 6: Final answer
    x = 74.12

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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.