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Finding the Fourth Proportional to 85.42, 117.87 and 49.97

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Solution

The fourth proportional to 85.42, 117.87 and 49.97 is: 68.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.42 : 117.87 = 49.97 : x
  2. Step 2: Convert to fraction form
    85.42/117.87 = 49.97/x
  3. Step 3: Cross multiply
    85.42x = 117.87 × 49.97
  4. Step 4: Simplify right side
    85.42x = 5,890.21
  5. Step 5: Solve for x
    x = 5,890.21/85.42
  6. Step 6: Final answer
    x = 68.96

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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.