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Finding the Fourth Proportional to 68.34, 94.14 and 49.86

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Solution

The fourth proportional to 68.34, 94.14 and 49.86 is: 68.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.34 : 94.14 = 49.86 : x
  2. Step 2: Convert to fraction form
    68.34/94.14 = 49.86/x
  3. Step 3: Cross multiply
    68.34x = 94.14 × 49.86
  4. Step 4: Simplify right side
    68.34x = 4,693.82
  5. Step 5: Solve for x
    x = 4,693.82/68.34
  6. Step 6: Final answer
    x = 68.68

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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.